Rafael Nadal's quest for a 23rd grand slam title remains alive after overcoming a slow start to defeat Italian veteran Fabio Fognini in four sets on Thursday.

Nadal lost the opening set and trailed 4-2 in the second frame before responding in trademark fashion, winning 16 of the next 19 games, to set up a third-round meeting against Richard Gasquet.

The Spaniard won 2-6 6-4 6-2 6-1 in two hours and 42 minutes, having also lost the opening set in the first-round win over Rinky Hijikata.

This year's Australian Open and French Open champion's surge to victory was momentarily halted in the fourth set when his racquet bounced off the hard court and into his nose when stretching for a shot.

Nadal needed a medical timeout and treatment but would return to play on, appearing relatively untroubled despite wearing a bandage over his nose, to complete the win.

The four-time US Open champion found himself in a spot of bother after losing the first frame with Fognini converting both of his two break points, before a wild second set that included seven breaks of serve.

Fognini appeared on course for a two-set lead at 4-2 but 23 unforced errors in the second set let him down with Nadal's pressure rising.

The Spaniard's game went up a level in the third, improving his first serve percentage to 75 per cent and only omitting five unforced errors and he carried that momentum through the fourth where he broke Fognini in the second and sixth games, before serving it out.

Data Slam: Breaks galore as Rafa gets revenge

Way back at the 2015 Open playing in a similarly late evening match past midnight, Fognini came from two sets down to defeat Nadal but the Spaniard reversed that this time around. Back in 2015 there were 17 breaks of serve for the match, while in 2022, with a set less played, there were 15 breaks for the match. Almost half of those were in a crazy second set.

WINNERS/UNFORCED ERRORS

Nadal – 20/37

Fognini – 24/59

ACES/DOUBLE FAULTS

Nadal – 4/2

Fognini – 1/9

BREAK POINTS WON

Nadal – 9/14

Fognini – 6/10

Tennis great Roger Federer has congratulated outgoing 23-time major winner Serena Williams on an "incredible career".

The 41-year-old Swiss revealed in a video message posted by the ATP Tour that he stayed up as a teenager to watch Williams' maiden US Open triumph in 1999 and lavished praise on her impact in the sport.

Williams, 40, last month announced her intention to evolve out of tennis after the US Open, where she has remarkably progressed to the third round following her upset win over second seed Anett Kontaveit on Thursday.

"I wanted to congratulate you for a most incredible career," 20-time grand slam champion Federer said.

"You know what you've achieved. I know what you've done. You know what it is, it just beyond incredible.

"I know it's probably with mixed feelings you're leaving this wonderful sport that has given you everything and more. I wish you all the best with your family."

Williams has won six US Open titles during her decorated playing career, including her maiden Flushing Meadows triumph in 1999.

"I think back at '99 at the US Open when you played Martina Hingis, I stayed up late to watch you battle it out as that was the beginning to your incredible career that you've had ever since," Federer said.

"I think the future is going to be wonderful for you. I'm sure it is. Please return to tennis. The tennis community and family will always welcome you with open arms and always be happy to see you again, so please return.

"For now enjoy this moment, enjoy the US Open, enjoy everything that's coming this next couple of weeks even though it might be hard for you.

"But I'm thinking of you and all my respect. I wish you all the very best for your future. Take care Serena."

Federer has not played professional tennis since Wimbledon last year, but has not retired and the former world number one is hoping for a return to action soon.

Britain's Jack Draper claimed one of the biggest scalps of the US Open so far after stunning sixth seed Felix Auger-Aliassime in a 6-4 6-4 6-4 victory to progress to the third round.

The 20-year-old defeated last year's Flushing Meadows semi-finalist to reach the last 32 in his first main-draw appearance at the final major of the season.

On the back of a second-round appearance at Wimbledon earlier this year, it represents Draper's best showing at a Grand Slam to date – and at few points did the Briton look at risk of letting the tie slip away from his grasp.

Draper saved all three of the break points he faced and took three of the 10 presented to him in a fine showing at Louis Armstrong Stadium.

For the Canadian, it brings a premature end to what the 22-year-old likely hoped would be a promising tournament that could have seen him go one better than last year.

He is the third top-10 seeded men's player to be eliminated, following first-round exits for Stefanos Tsitsipas and Taylor Fritz against qualifiers Daniel Elahi Galan and Brandon Holt respectively.

US Open reigning champion and top seed Daniil Medvedev has put the pressure on 22-time grand slam winner Rafael Nadal who he believes is the frontrunner for the Flushing Meadows title.

Medvedev endured a 10pm start time playing on Arthur Ashe Stadium after Serena Williams' three-set win over Anett Kontaveit on Wednesday evening to defeat Arthur Rinderknech 6-2 7-5 6-3 in two hours and 11 minutes in the second round.

The Russian was not happy with his level early in Wednesday's match, admitting he did not adjust seamlessly to the late start time, but said he worked into it.

The win books a third-round clash with Chinese qualifier Wu Yibing but Medvedev was pressed on the favourites for the men's singles title in the absence of Novak Djokovic this year.

Medvedev claimed his maiden major at last year's US Open with victory over Djokovic in the final, while he lost to Nadal in a memorable five-set Australian Open decider earlier this year.

"First of all, I don't want to put pressure on anybody, but I think Rafa is a big favourite also," Medvedev told reporters.

"He won the last time he played here against me actually. He won two slams this year. I think Novak is better on grass, but Rafa didn't play.

"He actually didn't lose in a Grand Slam this year. He retired [in the Wimbledon semi-final against Nick Kyrgios], which is not the same.

"In my opinion Rafa is big, let's call it like this, I don't want to say favourite, big favourite, he's definitely big figure in this tournament.

"Then for sure there are many other good guys. I'm happy to see my name sometimes in the odds or something like this because I'm like, that's great. That means that I play some good tennis.

"Being amongst the favorites just brings me more motivation to try to do well."

Medvedev compared his 2022 form in New York (he beat Stefan Kozlov in the first round in straight sets) to last year's when he won the title, admitting he did not feel he was going as well as 12 months ago at this stage.

"These two matches felt a little bit less good comparing to last year, but at the same time I know I already played a lot of Grand Slams," he said.

"That's not the most important. The most important is to win, to stay in the tournament, to try to get as far as possible, for sure try to raise your level when the opponents go stronger and stronger.

"Finally you're going to play somebody who has a Grand Slam or something like this."

Nick Kyrgios has complained of the smell of marijuana during his second-round US Open victory over Benjamin Bonzi on Wednesday.

The 2022 Wimbledon finalist made the claim to the chair umpire late in the second set of his hard-fought 7-6 (7-3) 6-4 4-6 6-4 win over the Frenchman at Louis Armstrong Stadium.

The chair umpire remarked that the smell could be coming from the kitchen which Kyrgios retorted with "it was f***ing marijuana".

"People don't know I'm a heavy asthmatic," Kyrgios told reporters after the match.

"When I'm running side to side, I'm struggling to breathe, probably not something I want to be breathing in in between points.

"Yeah, US Open, it's a very different vibe to everywhere else. I feel like Wimbledon was so proper. Australian Open, you kind of expect it there, being an Aussie.

"But here, it's just like noisy. Point in, point out, I can't barely hear. Half the time I can't even hear my team because it's so noisy all the time."

The latter half of Kyrgios' second-round match coincided with major drawcard Serena Williams playing on Arthur Ashe Stadium against second seed Anett Kontaveit.

"Ashe was unbelievably noisy," Kyrgios added. "I couldn't hear anything. Constant jitter. Things going off, sirens.

"In Armstrong today, hearing trains and people. For someone that's struggled to focus in my career, I'm really trying hard to put my head down and play point by point, try to dig myself out of some certain situations.

"It's hard because there's a lot of distractions. Obviously a lot of heckling going on as well. People are saying things. I got to be very careful with what I say these days."

Kyrgios' win means he will take on American J.J. Wolf in the third round on Friday and the 23rd-seed Australian, who won August's Citi Open in Washington DC, said he was feeling motivated and more professional than ever.

"This year's been amazing in so many different ways," he said. "For my tennis, I kind of wanted to almost reinvent myself, get back to the top of the game where I know I belong.

"The Wimbledon final was a turning point I think for me mentally. If I won that match, I don't know where my motivation would have been at. Losing it and being so close, it was really tough for me to kind of swallow that.

"Winning Washington, winning so many matches, I just feel like I thought the pressure would be off me after winning Wimbledon. He's a Wimbledon finalist, he's nearly-over-the-hump-type thing.

"I didn't think I'd be putting this amount of pressure on myself. Every day I come in, I watch what I eat, I try and get sleep. Like every practice session I try and have good intent. I almost don't know who I am anymore, to be honest, because that's not me.

"I feel like I'm really professional right now. I never thought that the Wimbledon final would make me that way. I thought it would be the other way, the reverse, almost a bit lax and a bit chilled with it."

Andy Murray is a "legend" of the sport who Matteo Berrettini knows he must play his best tennis against in the US Open third round.

Berrettini had to come from behind to beat Hugo Grenier on Wednesday at Flushing Meadows, setting up a fourth career meeting with Murray.

Like Berrettini, former world number one Murray came from a set down to defeat Emilio Nava 5-7 6-3 6-1 6-0.

Berrettini holds a 2-1 lead in his head-to-head series with Murray, who won the first match between the pair in Beijing in 2019.

Murray lost to Berrettini as the Italian went on to win at Queen's Club in 2021, with the Scot going down to the 26-year-old again in the final in Stuttgart earlier this year.

"We played in different conditions. We played 2019 in Beijing, so was hard, but best-of-three. Then twice on grass. All the matches were great fights," Berrettini said in a press conference.

"I think obviously Andy now is in way better shape than he used to be, especially last year. He's a legend of the sport. I think it's going to be a great match, a tough match for me, but feeling confident. I always like to play here, especially in big stages, big matches like the one I'm about to play. Yeah, I think it's going to be a tough one, but I'm ready."

Berrettini also revealed he and Murray have practiced together, though he does not think that will help much in Friday's tie.

He said: "We're friends, but we're not like best friends. A good relationship.

"He had a crazy hip surgery. Everybody saw it. It's not easy to come back, especially when he was number one in the world. Mentally it must have been, like, really tough for him. But I think it's inspiring the will that he has, the love that he has for this sport. I always admired that.

"We often practice together, as well. When I was a kid I was watching him on TV, for me it's still a dream coming true playing against this kind of player.

"I remember 2016 he played against Paolo Lorenzi here. My brother, he played quallies here, the juniors. I was like, Wow, you're playing next to Andy, and now I'm playing against him. It's something that I really appreciate. That's why I'm even happier for the match now I'm going to play.

"But it doesn't matter. When you play Andy Murray, you're playing Andy Murray. You have to play your best tennis."

Andy Murray believes he is in his best physical shape for years after he made the third round of the US Open for the first time since 2016 on Wednesday.

Murray dropped the first set against American wildcard Emilio Nava, but the Scot powered back to win 5-7 6-3 6-1 6-0 in New York.

He will face 13th seed Matteo Berrettini in the last 32 on Friday, and the 35-year-old has his sights set on a lengthy run at Flushing Meadows.

"Physically this is the best I've felt in the last few years," he said. "My movement is by far the best it's been in a long time.

"I'm getting closer to where I want to be and hopefully I can have a deep run here."

Murray reunited with coach Ivan Lendl for the third time earlier this year – a decision he cites for his improved form.

"There's a lot of belief in the relationship because of results we've had in the past," he added.

"I trust that if I play with a game style he wants me to that will bring me success.

"It gives me confidence. He knows what it takes to win and perform well at this tournament. It's great to have him back."

Speaking about his next opponent, Berrettini, Murray said: "He's had a bit of an unlucky year.

"I know he got Covid at the beginning of Wimbledon. When he has been on the court he's done really well.

"We played a tough three-set match in Stuttgart. I'm expecting it to be really difficult but if I play well and my return's on point then I've got a good chance."

Rafael Nadal was "super happy" to be back on the court after injury, coming from a set down to beat Rinky Hijikata in the first round of the US Open.

Hijikata raced out to a one-set lead against the 22-time grand slam champion to give him hopes of a major upset.

But the 36-year-old Nadal romped back to win the next three sets and secure safe passage into the next round 4-6 6-2 6-3 6-3.

Although Nadal has won the Australian Open and French Open titles this season, he has also suffered with injuries, withdrawing from his Wimbledon semi-final against Nick Kyrgios with an abdominal problem.

That issue meant he had played just once – in defeat to Borna Coric at the Cincinnati Masters – between the previous major at the All England Club and Tuesday's match at Flushing Meadows.

The lay-off prompted doubts in Nadal's mind, and he was therefore relieved to be back in action.

"It's been a long wait," said Nadal in his on-court interview after the match.

"For some time, I thought I may not be able to be back, so I am super happy. I just have to be humble and accept the process, day after day in practices and matches, and stay positive.

"I think I started not that bad the first couple of games, but then I had some opportunities that I was not able to make.

"I think I didn't play a good game with my serve. Then he had the break. Then I was a little bit nervous. First match here in New York after three years, a night session, it's always exciting. Yeah, I went through this tough moment.

"It's always the same story: things are not perfect when you are not competing very often, when you come back from injury. I am able to play again in two days, and I hope to play better."

Rafael Nadal believes he is treated the same as any other player in terms of shot-clock violations – even if John McEnroe suggests otherwise.

Nadal became engaged in a slightly awkward exchange with a reporter following his first-round win at the US Open on Tuesday.

After beating Rinky Hijikata 4-6 6-2 6-3 6-3, it was put to the Spaniard that there are "different rules for Rafael Nadal than there are for everybody else".

The reporter referred to comments from McEnroe, who has asked why Nadal was not punished for taking more than 25 seconds to serve.

Nadal was amused by both the question and McEnroe's comments, replying: "Yeah, I think it's a joke.

"I went through a lot of warnings under my tennis career – never for breaking a racquet, never for doing a mess on court, but yes, for the time clock.

"I have a problem that I am sweating a lot. When you are playing during these very humid conditions, we have a biggest problem today, that is we don't have the ballboys bringing the towel to you for the last couple of years. You have to go to the farthest place of the court to take the towel.

"The problem for players like me that are sweating that much, you know when you go to pick up the towel, you're going to be in trouble with the time. So I am not going very often.

"I don't think I have a different treatment from the umpires at all.

"I never said that [there should be different rules for Nadal]. I am following the rules. If I am having more than 25 seconds, I receive a warning every single time.

"If not, check the clock. I don't know if you want to create [something].

"I don't think I'm receiving a different treatment at all. I don't understand why John can say that on the TV. But I'm going to have a chat with him later."

Rafael Nadal survived an early scare against world number 198 Rinky Hijikata, steadying after dropping the first set to run away with a 4-6 6-2 6-3 6-3 victory.

The first set saw the 21-year-old Australian play out of his skin in the biggest match of his life, hitting 11 winners in the frame, before only being able to muster a combined 15 winners in the next three sets.

Nadal also left the door open, with one of his two double faults in the match leading to Hijikata's only break point opportunity from the first three sets, and he took full advantage before serving it out.

From that point on, it would be all Nadal as he found his footing, winning the points from 14 out of his 15 accurate first serves in the second set, before his second serve lifted in the third frame, taking 11 of those 13 opportunities.

A competitive fourth set meant Nadal had to save three break points, but only after he had already secured a break of his own and was cruising towards the finish line. 

He needed five match points to finish off the determined Aussie, but he got the job done after three hours and 12 minutes of action, booking his place against Italy's Fabio Fognini in the second round.

Data Slam: Nadal's uncharacteristic start

The last time Rafael Nadal lost the opening set of a grand slam match against an opponent ranked outside of the top-100, it was five years ago at the 2017 US Open against Taro Daniel. It was a similar story on that day, as the Spaniard then rattled off the next three sets 6-3 6-2 6-2 without issue.

WINNERS/UNFORCED ERRORS

Nadal – 43/22

Hijikata – 27/33

ACES/DOUBLE FAULTS

Nadal – 9/2

Hijikata – 7/4

BREAK POINTS WON

Nadal – 5/10

Hijikata – 1/4

Nick Kyrgios hopes he never has to face Thanasi Kokkinakis again after eliminating his close friend and doubles partner in the opening round of the US Open.

The Wimbledon runner-up began his latest quest for a maiden singles grand slam crown with a routine 6-4 6-4 7-6 (7-4) victory at Arthur Ashe Stadium on Monday.

It marked the first time the pair, who won the doubles event on home soil at the Australian Open in January, have met in a tour-level match.

Kyrgios will also partner Kokkinakis in the US Open doubles, and the 27-year-old did not enjoy facing his compatriot in singles competition.

"When we both saw the draw, it was a nightmare, honestly," Kyrgios said. "We never want to play each other. 

"I've just got so much respect for him. I can't wait to get out there and play doubles with him on the right side of the net.

"We just know each other's games like the back of our hand. We've played together since we were about nine years old. 

"He knows my game well. I know his game extremely well. I just played the bigger points well early on. We're going to play each other, hopefully, never again."

Kyrgios will now take on Benjamin Bonzi, who beat fellow Frenchman Ugo Humbert in five sets to advance at Flushing Meadows.

Stefanos Tsitsipas had a shot at rising to the number one ranking at the 2022 US Open but instead he is out in the first round following a four-set loss to Daniel Galan on Monday.

The world number 94 stunned recent Western and Southern Open finalist Tsitsipas in the first two sets by winning the first 11 games of the match, before the Greek rallied but Galan would triumph 6-0 6-1 3-6 7-5 in two hours and 48 minutes.

World number five Tsitsipas, who has never gone beyond the third round at Flushing Meadows, did need treatment for a forearm tightness but admitted he was simply "dominated" by Galan who eventually prevailed on his ninth match point.

The 24-year-old had some form after reaching the final in Cincinnati earlier this month, losing to Borna Coric, and felt it was a missed opportunity, in the absence of Novak Djokovic, to press his case for the top rank across the next fortnight.

"I was very motivated and pumped before the US Open started because I knew I could use this tournament to get closer to the number one spot," Tsitsipas said.

"It would be very weird and very unusual if it didn’t cross my mind, because this is something I wanted since I was a kid and I know this is my chance now to step it up.

"It just didn’t go as planned. Sometimes you just need to let it go, you don’t need to overthink it, you don’t need to push yourself too hard but at the same time it’s difficult because there’s this open opportunity right in front of you, you don’t want to mess it up, you don’t want to waste it."

"My chances are a bit smaller. The margin is not as thin as it used to be now after the US Open but I’m still going to try and add points to my ranking, as much as I can until the end of the year, I really want to perhaps finish in the top three… more opportunities ahead."

Tsitsipas, who only won seven points in the opening set, hit 57 unforced errors for the match compared to Galan's 36.

The Greek only managed 28 winners, with Galan hitting 41, while the Colombian also had the better of the all the key serve categories, winning 74 per cent on his first serve.

"He dominated the match," Tsitsipas said. "I just couldn't get into it."

Former US Open champion Dominic Thiem has been bundled out at Flushing Meadows in the first round by Pablo Carreno Busta 7-5 6-1 5-7 6-3 on Monday.

The Austrian, who was back to defend his 2020 title after missing last year due to a wrist injury, was no match for the 12th-seeded Spaniard, despite coming in with a 7-0 head-to-head record.

Four-time Grand Slam finalist Thiem has struggled for the past 14 months, with a mix of injury and form, only gaining entry at the US Open with a wild card.

Thiem is now ranked 211th in the world and has a 9-10 record this season, albeit with an improved past two months.

Former world number three Thiem had waited 426 days between ATP Tour level wins, when he triumphed at the Swedish Open in July this year.

Carreno Busta, who won in Montreal earlier this month, won in three hours and 18 minutes, rallying back from a 2-4 deficit early to peel off 10 of the next 11 games and claim a two-set lead.

Thiem responded in the third set by breaking in the second game, with Carreno Busta committing more unforced errors, but the Austrian could not maintain the pressure in the fourth.

The Austrian hit 44-31 winners but was not helped by unforced errors (54-32), while his first serve percentage was down at 59 per cent, winning only 58 per cent on his first serve.

Daniil Medvedev says he is not feeling the "extra pressure" of being the defending US Open champion after easing to a 6-2 6-4 6-0 victory over Stefan Kozlov in the first round.

The Russian won the first grand slam title of his career last year when he defeated Novak Djokovic at Flushing Meadows, and started his defence in dominant fashion on Arthur Ashe Stadium on Monday.

The world number one broke American outsider Kozlov eight times in a one-sided encounter in New York, in which he struck 37 winners and committed 19 unforced errors 

Top seed Medvedev does not feel burdened by being the man who won the final major of the year in 2021.

"[There is] a little bit [of] extra pressure [in being the defending champion]," he stated, "But mostly, I don't feel it, to be honest.

"Probably the only pressure is I know if I'm not going to play good here, for whatever reason... I will not care that I won it last year, I will just be disappointed that this year did not work out my way."

Medvedev will face Arthur Rinderknech next on Wednesday, after the Frenchman defeated his compatriot Quentin Halys in four sets on day one.

Andy Murray equalled Lleyton Hewitt by claiming his 47th main-draw win at the US Open as he came through a tricky first-round clash with Francisco Cerundolo.

Just under 10 years on from his maiden grand slam triumph at Flushing Meadows, where he famously beat Novak Djokovic in a near five-hour final, Murray overcame 24th seed Cerundolo in relatively short order.

The world number 51 produced one of the more impressive performances since his return from hip surgery to win 7-5 6-3 6-3 in two hours and 42 minutes on the Louis Armstrong Stadium court.

It is a success that moved him level with Australian great Hewitt, with whom he now shares ninth place on the all-time list for the most main-draw wins in New York.

Additionally, it marked Murray's first straight-sets win at a grand slam since his fourth-round victory over Benoit Paire at Wimbledon in 2017.

Cerundolo, meanwhile, is still awaiting his first main-draw win at a major.

He has enjoyed a breakthrough year, winning his first ATP title at the Swedish Open in July and reaching a career-high ranking of 24, but fell at the first hurdle for the third successive major having failed to qualify for the Australian Open at the start of the year.

Murray will play John Millman or Emilio Nava in the second round.