Andy Murray and Daniil Medvedev both know they could have done things better in Saturday's match, though it was the Russian who progressed with relative ease from the tie.

Medvedev, who enjoyed a short-lived stay as world number one earlier in March, defeated three-time grand slam winner Murray 6-4 6-2 to reach the third round of the Miami Open.

Murray beat Federico Delbonis in his first-round match but the former world number one has not won two successive games in a tournament since January, when he went all the way to the final in Sydney.

The crowd was largely on Murray's side in Saturday's contest yet Medvedev hardly felt the pressure. Indeed, the 26-year-old did not offer up a single break point throughout.

Nevertheless, Medvedev saw scope for development in his game, though was still able to reflect on a relatively routine victory.

"I think it was a great match. It's never easy, even if you practice on the same courts for one or two months, it's never going to be the same as a competitive tournament match," said Medvedev, who is top seed in Miami.

"So I'm happy that I managed to have zero break points against me. I feel like I have some room for improvement, but it was a great match against an amazing player and I'm happy that I managed to go through.

"On the days when you serve good, your opponent doesn't have this freedom to return, it helps you.

"[In the] second set, the scoreline was easier, it was much tougher in the beginning, but when your opponent knows you're probably going to get some aces and it's not going to be easy for him to return, he gets pressure on his serve and many times that is what happens in close matches.

"Every opportunity I had I tried to take it, to go for it, and there were a lot of moments when I was happy about my game."

Murray, on the other hand, acknowledged he is simply not yet at a level where he can expect to outlast the world's best players.

"My level of tennis is obviously not right now where it needs to be to win matches like that," the 34-year-old told reporters.

"Today there were some good signs on the court but the two key things in tennis are serve and return. I didn't do either of them particularly well."

Daniil Medvedev comfortably saw off Andy Murray in their third-round match at the Miami Masters, winning 6-4 6-2 on Saturday.

Medvedev must reach the semi-finals in order to retake the top spot in the ATP rankings from Novak Djokovic in April, and he got off to a positive start in Miami, not facing a single break point in his 90-minute win.

"On the days when you serve good, your opponent doesn't have this freedom to return, it helps you," Medvedev said post-match.

"[In the] second set, the scoreline was easier, it was much tougher in the beginning, but when your opponent knows you're probably going to get some aces and it's not going to be easy for him to return, he gets pressure on his serve and many times that is what happens in close matches."

Medvedev will face Pedro Martinez, who defeated Cristian Garin 7-6 (6-2) 6-2.

Reigning Miami champion Hubert Hurkacz got his title defence off to a good start with a 7-6 (7-5) 6-2 victory over Arthur Rinderknech.

Following defeats for Murray and John Isner, the Polish world number 10 is the only former champion left in the draw.

A number of men's seeds were beaten in their second-round matches on Saturday, however, including Canadian duo Felix Auger-Aliassime and Denis Shapovalov.

Miomir Kecmanovic continued his good run of recent form, defeating Auger-Aliassime in straight sets 6-4 6-2, while South African Lloyd Harris beat Shapovalov 6-4 6-3.

For his third consecutive ATP 1000 match, meanwhile, Stefanos Tsitsipas was pushed to three sets by an unseeded American.

After some entertaining hitting, with both looking to finish points early, the Greek third seed claimed four straight breaks of serve to eventually defeat Jack Wolf 6-4 6-7 (5-7) 6-1.

Daniil Medvedev will have to go through two-time Miami Open champion Andy Murray to quickly reclaim the world number one ranking.

Medvedev's first stint at the top of the ATP rankings ended swiftly when he lost in the third round at the Indian Wells Masters and was displaced by Novak Djokovic.

But the Russian has the opportunity to leapfrog Djokovic once more by making the semi-finals in Miami.

Before thinking about the latter stages of the Masters 1000 tournament, however, Medvedev first must master Murray, who looked in good nick on his return to Miami.

Murray has twice won this tournament but has not played it since 2016, meaning Thursday's match against Federico Delbonis was his Hard Rock Stadium debut.

Delbonis had won the pair's only prior meeting yet was outclassed 7-6 (7-4) 6-1 after a steady first set.

Medvedev and Murray have also only met once before now, with the world number two coming out on top, but the wild card is looking forward to the challenge.

"It's a big challenge for me, a big test," Murray said. "I've got a big training block after this tournament and it'll be a really good test for where my game's at and the things I need to work on as well against him. I'm looking forward to that."

That is not the only mouthwatering second-round tie, with Nick Kyrgios through to face Andrey Rublev.

However, Stefanos Tsitsipas has a slightly more straightforward task on paper after qualifier J.J. Wolf advanced past Daniel Altmaier.

Daniil Medvedev and fellow Russian tennis stars could be banned from playing at Wimbledon unless they denounce president Vladimir Putin.

That was confirmed by UK sports minister Nigel Huddleston on Tuesday, as he told a parliamentary committee there were concerns about Russian representation in sport.

With Russia's military invasion of Ukraine ongoing, Huddleston warned it would not be appropriate for anyone to be seen to be flying the flag for their homeland, or showing any support for Putin's regime.

Speaking at a Digital, Culture, Media and Sport Committee session, Huddleston was asked about Wimbledon and Medvedev, the current men's world number one player and reigning US Open champion.

Huddleston said: "We are looking and talking to various sports about this and what the response and requirements should be there. Absolutely, nobody flying the flag for Russia should be allowed or enabled."

He added: "We need some potential assurance that they are not supporters of Vladimir Putin and we are considering what requirements we may need to get some assurances along those lines.

"In short, would I be comfortable with a Russian athlete flying the Russian flag? No."

Asked about the All England Club, which hosts Wimbledon, Huddleston said: "We are in discussions."

Russia has four players in the men's top 30, and three in the women's top 30.

They are playing under neutral flags at present, after the ATP and WTA tours decided Russian and Belarusian players should not be permitted to represent those nations while conflict continues in Ukraine.

Wimbledon runs from June 27 to July 10 this year, with a week of qualifying preceding the tournament.

Demanding each player from Russia directly comes out against president Putin would be going a step beyond what is currently required.

Huddleston said: "We are looking at this very issue about what we do with individuals, and we are thinking about the implications of it, because I don't think people would accept people very clearly flying the Russian flag, in particular if there is any support and recognition for Putin and his regime."

Speaking last week at Indian Wells, Medvedev spoke about being allowed to continue to play on the tour.

"It's definitely not for me to decide. I follow the rules. I cannot do anything else," he said. "Right now the rule is that we can under our neutral flag.

"I want to play my favourite sport. Until I have the chance to do it, I'm going to be there to try to play for the fans, play for other people, for myself also of course.

"Also I think tennis is a very individual sport, so far what we are seeing [being sanctioned] are more national teams or some team sports. Let's see how the situation evolves."

Rafael Nadal sympathises with Naomi Osaka over the abuse she was subjected to at Indian Wells, but says athletes must be prepared to deal with it "as nothing is perfect in life".

Osaka was reduced to tears as she crashed out of the Indian Wells Open with a 6-0 6-4 third-round defeat to 21st seed Veronika Kudermetova on Saturday.

A member of the crowd could be heard shouting "Naomi, you suck" after the four-time grand slam champion had been broken in the first game of the match.

Osaka approached the chair umpire to report the incident and held further discussions with the court supervisor after being insulted again.

While accepting there is no place for such conduct, 21-time grand slam winner Nadal believes players should learn to cope with hostile environments.

"These kind of questions are tough to answer because, in some way, the easy answer for me is I feel terrible about what happened, that never should happen," he told reporters.

"The real thing, in the real world, that happens, you know? I feel very sorry for her. We are having, in my opinion, a great life. 

"We are very lucky people that we're able to enjoy amazing experiences because of our life, because we are tennis players. We make money.

"Even if is terrible to hear from that, we must be prepared for that. We need to resist these kind of issues that can happen when you are exposed to people. 

"At the same time, as we like a lot when the people are supporting, when something like this happens, we need to accept and move forward.

"I understand that probably Naomi, she suffered a lot with his probably kind of issues that she has, mental [health] issues. 

"The only thing that I wish for her is to recover well from that and wish her all the very best. But nothing is perfect in this life. We need to be ready for adversities."

Speaking shortly after the incident, an emotional Osaka said being targeted by the spectator reminded her of abuse the Williams sisters were subjected to at the same event.

Serena and Venus Williams were the victims of verbal abuse at the tournament in the Californian desert back in 2001.

The siblings' father, Richard Williams, claimed he had been racially abused at Indian Wells, while Venus Williams said she "heard whatever he heard".

Daniil Medvedev, who will concede his status as world number one back to Novak Djokovic from next week, said he can relate to how Osaka felt after recently hitting out at the "disrespectful" crowd at the Australian Open.

"I didn't see it with my own eyes, and I didn't watch the videos after, so I just heard it from someone who heard from someone, so I don't want to go too much into it," he said.

"It's tough for everybody because I can feel for Naomi. I mean, I felt not great in Australia. 

"You know they're [the players] getting millions. They should be ready for everything. At the same time, we're humans. We all make mistakes, good decisions. 

"Sometimes we feel bad. Sometimes we feel good. I can understand that Naomi didn't feel that great when she heard it and I can completely understand her feelings.

"Life would be easier if everybody would be calm and not angry but, even talking about me, I get angry, so I should be better also."

Novak Djokovic will return to the top of the ATP rankings after Daniil Medvedev fell to a brilliant Gael Monfils comeback at the Indian Wells Open.

Medvedev was beaten 4-6 6-3 6-1 by Frenchman Monfils, with the reigning US Open champion only able to connect on 50 per cent of his first serves, while he was broken three times in the decider.

For Monfils, the win earns him a spot in the fourth round against Carlos Alcaraz, while the loss means Medvedev will lose his position as world number one after only two weeks.

Speaking to post-match media, Medvedev said while he will work hard to earn the top-ranking back, starting in Miami next week.

"Is it better to be number one for, let’s say one week in your life, or never touch it?" he said. "I think it's still better to at least touch it.

"Now I know I'm going to lose it, so I have Miami to try to get it back. [I'm] usually feeling a little bit better in Miami in terms of tennis, so I'll try to play good there.

"I thought it could give me more motivation, well, I had motivation. It's just that I didn't find my best tennis."

Newly-minted world number one Daniil Medvedev said his win was "not as easy" as it appeared after beating Tomas Machac in straight sets at the Indian Wells Masters.

Medvedev beat his Czech opponent 6-3 6-2 in their second round match, his first since being told he cannot compete under the Russian flag following the invasion of Ukraine.

After saving a break point in the opening game, Medvedev settled quickly, breaking-to-love to go up 4-2 and securing the first set without conceding a point in his final two service games.

The 26-year-old effectively put the contest to bed when he broke Machac's serve in the opening game of the second set, later securing the double-break to sail to the finish line.

Speaking to the post-match media, Medvedev said it was far from a perfect performance, but was glad to come through unscathed.

"I think I was pretty consistent," he said. "If you look at the first set, it was pretty even. He made a few unforced errors and maybe some bad decisions in the crucial moments – that's how tennis is sometimes.

"The scoreline might be pretty effective, 6-3 6-2, but if you look at the points and the games, it was not as easy as it seems. 

World number one Daniil Medvedev hopes that Russian and Belarusian tennis players will be allowed to continue competing but acknowledges there remains a chance of further restrictions.

The governing bodies of tennis (the International Tennis Federation, ATP, WTA, and the four Grand Slam events) recently announced that Russian and Belarusian players can no longer compete under the flags of their respective countries.

Russia launched a full-scale military assault on Ukraine last month, a move that received the backing of Belarus, leading the ITF to revoke Russian and Belarussian membership and suspend the countries' teams.

That decision followed in the footsteps of rulings relating to Russian teams or competitors in various sports, including football and athletics.

Medvedev, who recently talked of his wish to "promote peace", said he hopes to continue to play, ahead of the first Masters event of the year in Indian Wells.

"It's always tough to talk on this subject because I want to play tennis, [to] play in different countries," the 26-year-old said.

"I want to promote my sport.

"I want to promote what I'm doing in my country for sure, and right now the situation is that that is the only way I can play [without representing Russia]."

Russian and Belarusian players, including ATP world number one Daniil Medvedev, will still be able to compete on the Tours and at grand slams, but the International Tennis Federation (ITF) has suspended the countries' teams.

Russia's Medvedev was only crowned world number one for the first time on Monday, though that success came amid the backdrop of an ongoing conflict between his nation and Ukraine.

To widespread international condemnation, Russia invaded Ukraine on Thursday, with that conflict since escalating further. Belarus, meanwhile, was effectively used as a staging post for part of the invasion force, though Belarusian president Alexander Lukashenko has insisted the nation's military did not and will not play any part in any operation.

Governments and organisations around the world, including governing bodies within sport, have responded with strict sanctions against Russia and certain individuals with links to president Vladimir Putin.

On Tuesday, the governing bodies of tennis (the ITF, ATP, WTA and the four grand slam events) announced sanctions of their own.

While Medvedev and other Russian and Belarusian players, including Andrey Rublev and WTA world number three Aryna Sabalenka, will be allowed to play in tournaments on both the men's and women's Tours, and the four grand slams, they will have to compete under neutral banners, with the flags of each country banned.

However, the WTA and ATP combined event in Moscow, scheduled to take place in October, has been suspended.

Meanwhile, Russia and Belarus have had their memberships of the ITF revoked, while all ITF tournaments set to be held in those countries have been suspended indefinitely.

Russia hold both the Davis Cup and Billie Jean King Cup.

The immediate upshot of the decision is that Elina Svitolina, the Ukrainian who is top seed at the Monterrey Open, will play her first-round match against Anastasia Potapova on Monday.

Svitolina said earlier in the day that she would refuse to play against any Russian or Belarusian opponent unless all national emblems, flags and colours were removed.

However, prior to the joint announcement from tennis' governing bodies, Svitolina told ITV News: "There's been a lot of discussion.

"Today they will release a statement that they will remove the flags. So we are waiting just for the final confirmation about that. I will be playing tonight because my opponent is going to be under a neutral flag."

Svitolina has pledged to donate all of her prize money from upcoming tournaments to assist Ukraine's fight against Russia.

The statement from tennis' governing bodies read: "A deep sense of distress, shock and sadness has been felt across the entire tennis community following Russia's invasion of Ukraine in the past week.

"Our thoughts are with the people of Ukraine, and we commend the many tennis players who have spoken out and taken action against this unacceptable act of aggression. We echo their calls for the violence to end and peace to return.

"The safety of the tennis community is our most immediate collective priority. The focus of the WTA and ATP in particular in recent days has been on contacting current and former players, and other members of the tennis community from Ukraine and neighbouring countries, to check on their safety and offer any assistance."

Athletes and officials from Russia and Belarus should be prevented from taking part in all international sporting competitions, the International Olympic Committee said.

In a statement issued on Monday, the IOC's executive board accused the governments of Russia and Belarus of a "breach of the Olympic Truce" following the attack on Ukraine.

Russian president Vladimir Putin ordered an invasion of Ukraine last Thursday, with neighbouring Belarus effectively used as a staging post for Russian military.

The IOC accepted athletes from both countries did not deserve to be punished simply for the actions of their governments. However, because the war in Ukraine prevents many Ukrainians from taking part in sporting events, the IOC said they were left with "a dilemma which cannot be solved".

It added: "The IOC EB has therefore today carefully considered the situation and, with a heavy heart, issued the following resolution:

"In order to protect the integrity of global sports competitions and for the safety of all the participants, the IOC EB recommends that International Sports Federations and sports event organisers not invite or allow the participation of Russian and Belarusian athletes and officials in international competitions.

"Wherever this is not possible on short notice for organisational or legal reasons, the IOC EB strongly urges International Sports Federations and organisers of sports events worldwide to do everything in their power to ensure that no athlete or sports official from Russia or Belarus be allowed to take part under the name of Russia or Belarus. Russian or Belarusian nationals, be it as individuals or teams, should be accepted only as neutral athletes or neutral teams. No national symbols, colours, flags or anthems should be displayed."

The IOC's announcement is expected to hasten a decision from FIFA over whether Russia will be allowed to compete in the World Cup play-offs in March.

Poland, Sweden and the Czech Republic all declared they would not play against Russia due to the Ukraine conflict, but world football's governing body initially chose only to ban the country's anthem and flag from matches and order them to play as the Football Union of Russia (RFU).

Russian tennis player Daniil Medvedev was confirmed as the new leader of the ATP world rankings on Monday, becoming the first man since Andy Roddick in 2004 to become world number one other than Novak Djokovic, Roger Federer, Rafael Nadal or Andy Murray.

Daniil Medvedev has officially been crowned as the ATP's new world number one.

The Russian, who claimed his first grand slam title at the US Open last year and reached this year's Australian Open final, only to lose to Rafael Nadal, has been sure of his place at the top of the rankings since Novak Djokovic's shock defeat to Jiri Vesely in the Dubai Tennis Championships last week.

Medvedev was aiming to cap off a sensational week by claiming victory at the Mexican Open, but the 26-year-old lost to eventual champion Nadal in the semi-finals in Acapulco.

Here, Stats Perform looks at the numbers behind Medvedev's rise to number one.

1 - Medvedev is the first player outside of the "big four" of Djokovic, Nadal, Roger Federer and Andy Murray to be crowned number one since Andy Roddick, way back on February 1, 2004 (18 years, three weeks and six days).

198 - At 198cm in height, Medvedev is the tallest player to be crowned world number one.

13 - Medvedev has won 13 Tour-level titles so far.

27 - He is the 27th different ATP world number one. The first was Ilie Nastase, in August 1973.

3 - Medvedev is the third Russian player to reach the top of the ATP rankings, after Yevgeny Kafelnikov (May 1999) and Marat Safin (November 2000).

6 - At 26, Medvedev is the sixth-oldest player to become world number one for the first time in their career.

361 - Djokovic has held the number one spot for 361 weeks in total – a record. It had been 86 weeks since the Serbian was last not at the top of the pile.

Rafael Nadal continued his tremendous form as he beat Daniil Medvedev in straight sets to set up a final with Cameron Norrie at the Mexican Open.

Nadal found this victory over Medvedev to be more straightforward than his remarkable five-set comeback win in last month's Australian Open final between the pair, winning 6-3 6-3 in Acapulco.

The victory means the Spaniard moves on to 14-0 for the new season, which is already his best ever start to a year.

The soon-to-be world number one Medvedev at least made him work for it in the second set and earned 11 break points across two consecutive service games, but a determined Nadal rescued all 11 of them, including seven in a marathon nine-deuce game at 6-3 3-2.

"I played some amazing points on the break points," said Nadal following the win. "The second set was very emotional. Daniil was playing very aggressive – drop shots, winners. It was a very difficult set. I feel lucky to win that set because he had a lot of chances."

He will now face sixth seed Norrie on Sunday, who also came through his semi-final against third seed Stefanos Tsitsipas in straight sets, 6-4 6-4.

The Brit – who won the Delray Beach Open last week – was particularly impressive on his serve, making 92 per cent of his first serves in the opening set. That dropped to 57 per cent in the second, but the quality of his baseline shots took him to victory.

Meanwhile at the Chile Open, local wildcard Alejandro Tabilo continued his good run, having already knocked out top seed Cristian Garin, with a 6-1 6-4 win over sixth seed Miomir Kecmanovic.

Tabilo will face Pedro Martinez in the semi-finals after the Spaniard won 6-2 6-2 over Yannick Hanfmann.

Sebastian Baez will meet second seed Albert Ramos Vinolas in the other semi-final after he got past Facundo Bagnis 7-5 6-2.

Russia's Andrey Rublev wrote "no war please" on a camera lens as he joined compatriot Daniil Medvedev in calling for peace.

Rublev beat Hubert Hurkacz 3-6 7-5 7-6 (7-5) on Friday to progress to the final of the Dubai Tennis Championships.

After confirming his place in a showdown with Jiri Vesely, the 24-year-old world number seven took a pen and scribed "no to war" on the lens of a television camera.

Vesely later wrote 'no war' on a camera lens after defeating Denis Shapovalov to book his place in the final.

It is not uncommon for players to write messages on camera lenses, but a plea for peace was an emotive move from Rublev.

On Thursday, Russia invaded neighbouring Ukraine following weeks of rising political tensions. The conflict escalated further still on Friday, with reports of fighting within the capital city of Kyiv.

Rublev's actions came after Medvedev – who will succeed Novak Djokovic as world number one next week – said he wanted to "promote peace".

Medvedev has reached the final four of the Mexican Open in Acapulco.

Rublev had previously expressed his wish for peace in a news conference at the Dubai event.

"In these moments you realise that my match is not important," Rublev said, with a video clip shared to his official Instagram account.

"It's not about my match, how it affects me. What's happening is much more terrible.

"You realise how important it is to have peace in the world and to respect each other no matter what, to be united. 

"We should take care of our Earth and of each other. This is the most important thing."

Russia's Andrey Rublev wrote "no to war" on a camera lens as he joined compatriot Daniil Medvedev in calling for peace.

Rublev beat Hubert Hurkacz 3-6 7-5 7-6 (7-5) on Friday to progress to the final of the Dubai Tennis Championships.

After confirming his place in a showdown with either Denis Shapovalov or Jiri Vesely, the 24-year-old world number seven took a pen and scribed "no to war" on the lens of a television camera.

It is not uncommon for players to write messages on camera lenses, but a plea for peace was an emotive move from Rublev.

On Thursday, Russia invaded neighbouring Ukraine following weeks of rising political tensions. The conflict escalated further still on Friday, with reports of fighting within the capital city of Kyiv.

Rublev's actions came after Medvedev – who will succeed Novak Djokovic as world number one next week – said he wanted to "promote peace".

Medvedev has reached the final four of the Mexican Open in Acapulco.

Rublev had previously expressed his wish for peace in a news conference at the Dubai event.

"In these moments you realise that my match is not important," Rublev said, with a video clip shared to his official Instagram account.

"It's not about my match, how it affects me. What's happening is much more terrible.

"You realise how important it is to have peace in the world and to respect each other no matter what, to be united. 

"We should take care of our Earth and of each other. This is the most important thing."

 New world number one Daniil Medvedev said he wants to "promote peace all over the world", after the Russian achieved a career highlight amid the crisis in Ukraine.

Medvedev's 6-2 6-3 victory over Japan's Yoshihito Nishioka saw him advance to the final four of the Mexican Open in Acapulco on Thursday, where he will face Rafael Nadal in a repeat of last month's Australian Open final classic.

The Russian advanced shortly after Novak Djokovic's shock loss to Jiri Vesely at the Dubai Tennis Championships, which ensured that he will start next week atop the ATP world rankings for the first time.

The news came shortly after Russian president Vladimir Putin launched a military assault on neighbouring Ukraine, an act that has attracted condemnation from across the sporting world.

"Watching the news from home, waking up here in Mexico, was not easy," Medvedev told reporters.

"By being a tennis player, I want to promote peace all over the world. We play in so many different countries. I've been in so many countries as a junior and as a pro. 

"It's just not easy to hear all this news. I'm all for peace. In these moments, you understand that tennis sometimes is not that important. 

"It was not easy to play and I'm happy that I managed to win the match, but it was a bit of a rollercoaster day for me."

Medvedev's compatriot Andrey Rublev had earlier spoken out in favour of peace, calling the situation "terrible" in an Instagram post.

"In these moments you realise that my match is not important," Rublev's post read. "It's not about my match, how it affects me. What's happening is much more terrible.

"You realise how important it is to have peace in the world and to respect each other no matter what, to be united. 

"We should take care of our Earth and of each other. This is the most important thing."

Rublev teamed up with Ukrainian Denys Molchanov to win the Open 13 Provence doubles title in Marseille just days ago, having also won the singles title at the tournament in southern France.