Matteo Berrettini outlined his desire to see Roger Federer return to the court as he compared the 20-time grand slam champion to retiring legend Serena Williams.

Federer has not played competitively since losing to Hubert Hurkacz in the Wimbledon quarter-finals last year, and has since undergone his third knee surgery in two years.

But the 41-year-old is hopeful of returning to the court for this month's Laver Cup, where he is set to team up with Rafael Nadal, Andy Murray and Novak Djokovic for Team Europe.

Federer recently shared an encouraging video of a practice session on social media after stepping up his rehabilitation. 

With tennis set to lose one legend after Williams' final US Open campaign was ended by Ajla Tomljanovic on Friday, the return of Federer would represent a major boost for the sport.

Speaking after beating Murray in the third round at Flushing Meadows, Berrettini said: "I think I said it so many times. Probably it's never going to be enough. One of the reasons why I'm here now is Roger. 

"He was my idol when I was growing up. I was cheering for him, so I want him back really badly.

"He's just like Serena, I guess, one of a kind, you know?

"I wish him a really speedy recovery in whatever he's doing to come back. I wish I could play one more time against him."

Berrettini has lost each of his two tour-level matches against Federer, including a straight-sets defeat at Wimbledon in 2019.

Nick Kyrgios believes no other player will be able to emulate the career Serena Williams has enjoyed, after the grand slam great confirmed her retirement.

Williams went down 7-5 6-7 (4-7) 6-1 to Ajla Tomljanovic – Kyrgios' former partner – on Friday in the third round of the US Open.

That brought an end to her playing career, though the 40-year-old suggested she would leave the door open for a potential return.

Kyrgios, who defeated J.J. Wolf to set up a contest with reigning men's champion Daniil Medvedev, is in awe of what Williams has achieved, as he ranked the 23-time grand slam champion alongside Rafael Nadal, Roger Federer and Novak Djokovic.

"She's had a career that I don’t think no one else will emulate," Kyrgios said.

"You've got a couple on the men’s side who are trying to catch her in grand slams, but Nadal, Serena, Federer, Novak, these are once in a generation athletes – I wouldn't even put myself in the same category, ever.

"It's a special moment for her, she played extremely well, she won two matches and nearly got on top [against Tomljanovic], it's a hell of a way to go out.

"I just appreciate what she's done and I'm sure everyone in this building does as well."

After beating Wu Yibing, world number one Medvedev said of Williams: "That was a crazy match, it was close to being three hours.

"It's definitely a pity that she lost. If it's the last match of her career, it was definitely an amazing match and she was really close to winning.

"Ajla played at a great level, it was not easy against the crowd and it was a high-level match."

Williams bows out with the most grand slam wins in the Open Era of any player, male or female.

Daniil Medvedev has described both himself and US Open fourth-round opponent Nick Kyrgios as "electric", but says the pair share more "respect" than friendship.

The world number one will continue his men's single title defence against the Australian in the last 16 at Flushing Meadows after a 6-4 6-2 6-2 Win over China's Wu Yibing.

The pair are set to meet for the fifth time on the ATP Tour, with Kyrgios holding an impressive 3-1 record over the Russian in their previous four encounters, including in the final of the 2019 Citi Open.

But Medvedev defeated the former on home turf at the Australian Open earlier this year, in arguably the biggest clash between the duo.

Speaking ahead of the pair's encounter, Medvedev stressed he does not see the pair as friends, but he has strong admiration for his opponent's game and is impressed at how he has revived his fortunes this year.

"I don't think we are friends," he added. "I feel like we respect each other a lot. We are both quite electric. You never know what's going to happen in the future

"Nick is a little bit different from other tennis players on the court. That's his choice. That's his life. I'm not the one to judge. I feel a lot of respect for him."

Asked if he is surprised at Kyrgios' improved form following a first grand slam final this year at Wimbledon, Medvedev added: "To be honest, yes.

"We all knew that he's capable of doing big things. We always knew on [his] day, he is capable of beating anyone.He [has] proved it many times, against the biggest players in the world."

Kyrgios, meanwhile, is relishing another battle on a big occasion, adding that his attempts to seize victory against the odds of public opinion allow him to "thrive".

"You want to be in those moments," he said. "I want to be playing on the biggest stadiums in the world in front of millions of people broadcasted globally. That's where I want to be. That is why I work hard.

"It makes it even sweeter. I know a lot of people don't want me to succeed. I know a lot of people hate my game, the way I do things, the way I go about it. I always thrive on it. I never want to forget all the things people say.

"I always carry this chip on my shoulder. Win or lose, I'm proud of how far I've come. I think that's where every tennis player wants to be, playing the best players in the world in the best stadiums in the world."

World number one Daniil Medvedev was levels above his third-round opponent Yibing Wu on Friday, defeating him 6-4 6-2 6-2 to set up a highly anticipated clash with Nick Kyrgios in his next match.

While Medvedev had the clear power advantage – finishing with 10 more winners and 11 more aces – he also allowed Wu to beat himself, with 18 unforced errors and three winners in the opening set.

Despite his early wastefulness, Wu still created six break point opportunities in the opening set, but could only capitalise on one. It would be his last break of the match as Medvedev tightened the screws down the stretch.

The Russian took the first four matches of the second set to take away any hope Wu had of fighting back into the contest, and in the third set Medvedev's serve really hit top gear.

He faced no break point opportunities in the final frame as he converted over 70 per cent of his points on both first serves (13-of-18) and second serves (eight-of-11), while Wu's errors returned, with 15 and just four winners.

Against Kyrgios next, Medvedev will be looking for his second win against the Australian in their fifth meeting. In their two matches this year – and their only two since 2019 – Medvedev won in four sets at the Australian Open, before Kyrgios got one back at the Canadian Open.

ACES/DOUBLE FAULTS

Medvedev – 12/5

Wu – 1/0

WINNERS/UNFORCED ERRORS

Medvedev – 26/27

Wu – 16/42

BREAK POINTS WON

Medvedev – 6/12

Wu – 1/8

Nick Kyrgios was far too good J.J. Wolf in the third round of the US Open on Friday, not having his serve broken a single time in the 6-4 6-2 6-3 victory.

Kyrgios dominated the match with his serve, racking up 21 aces to Wolf's five, and of the seven break point opportunities the Australian allowed, he saved all seven.

His return game was sharp as well, creating 11 break points and converting five, and he used it to break away in the second set, rattling off five consecutive games to comfortably go up two sets to love.

The third set was more competitive as Kyrgios had a pair of double faults, and more unforced errors (17) than winners (16), but he ultimately had too much firepower for the 23-year-old American.

After coming back from a love-40 deficit, saving four break points in the game, Kyrgios put the finishing touches on the straight sets win with another break of serve to seal it.

With the win, he books his spot in the fourth round, where he will meet world number one Daniil Medvedev.

Kyrgios has won three of the four career meetings between the pair, including their most recent fixture at the Canadian Open.

ACES/DOUBLE FAULTS

Kyrgios – 21/5

Wolf – 6/1

WINNERS/UNFORCED ERRORS

Kyrgios – 36/32

Wolf – 20/26

BREAK POINTS WON

Kyrgios – 5/11

Wolf – 0/7

Andy Murray has admitted he is "surprised" to still be able to compete against top-level opponents given his injury history.

The 2012 US Open champion exited this year's competition following a third-round defeat to 13th seed Matteo Berrettini, though he did take the tie to four sets.

Having lost the first two sets, Murray fought back to win the tiebreaker in the third but his valiant attempts were ended by the Italian in the fourth, who sets up a round of 16 clash against Alejandro Davidovich Fokina.

Despite the loss, Murray was pleased with his performance at the tournament and encouraged by his ability to still go toe-to-toe with the likes of Berrettini.

"I've got a metal hip. It's not easy playing with that. It's really difficult. I'm surprised I'm still able to compete with guys that are right up at the top of the game," he said after the match.

"Matches like this, you know, I'm really proud that I have worked myself into a position where I'm able to do that. I'm really disappointed that I didn't get over the line today. 

"But I get reminded like 'this is the first time you've made the third round here since 2016'. It's been six years. It's been a difficult six years for me. It's been really hard.

"Although it's the first time I've only made the third round here, I'm really proud of that effort that I put in to get myself back into these positions. So, I'm hoping that in the future I can go further, but considering, I did all right."

Murray went on to explain how things feel differently for him on the court, identifying he cannot move in the same way Rafael Nadal and Novak Djokovic still can.

"A lot of the things feel the same, but obviously I'm just not quite capable of the sort of movement and physicality that I was five, six years ago. I mean, that's pretty obvious. You know, I shouldn't expect to be," he said.

"I think if you watch Rafa and Novak moving around the court now who are similar age, I think they're moving pretty similar to how they were five, six years ago, whereas for me there's obviously been a bit of a drop-off there.

"That can affect you in terms of how you have to play the points. Maybe you just don't track as many balls down as before. Maybe the reach isn't just quite as much as it was.

"But in terms of the shots and everything, there is nothing that is stopping me from hitting the same shots as I did before."

Rafael Nadal feared he had broken his nose after being struck by his own racquet in the second-round win over Fabio Fognini at the US Open.

The Spaniard, seeking a 23rd grand slam title, once again recovered from losing the opening set to claim a 2-6 6-4 6-2 6-1 triumph at Flushing Meadows.

He will now face Richard Gasquet after extending his winning streak at majors in 2022 to 21 matches.

But he will hope the pain from a nasty-looking injury has subsided by then, with Nadal's racquet having bounced off the court and into his nose while he was stretching to make a return in the fourth set.

The world number three needed a medical timeout and treatment, returning with a plaster on his face as the incident ultimately did little to slow his momentum.

"It was just a strong hit," said Nadal. "At the beginning I thought I had broken the nose because it was a shock at the beginning. It was very painful.

"I lost a little bit of the feeling in my head. It was like being a little bit out of this world.

"I don't know, it seems like it is not broken. I am not sure yet. I don't know. I think it's getting bigger and bigger."

For the second match in succession, Nadal had to come from a set behind, having also lost the opener to first-round opponent Rinky Hijikata.

Having struggled to find his rhythm early on, the 36-year-old was pleased that his persistence paid off.

"I'm happy after a terrible start. I don't understand yet how I started that bad because the feeling before the match was good," he said, the win having secured his spot at the ATP Finals for a 17th time.

"But these kind of things sometimes happen, so you need to accept and keep going. That's what I did.

"I'm lucky that Fabio made some mistakes and I was able to start putting some balls in and finish the match playing obviously better, much better."

For a moment it seemed Rafael Nadal was in danger of a premature exit from the US Open against Fabio Fognini on Thursday but he steadied to improve his 2022 grand slam record to 21-0.

Nadal won the Australian Open and French Open titles earlier this year, but an abdominal injury forced him to withdraw from Wimbledon at the semi-final stage, handing Nick Kyrgios a passage to the decider won by Novak Djokovic.

The 22-time major champion is on a mission to make it three from four grand slam titles this calendar year in Djokovic's absence in New York.

The 36-year-old Spaniard will take on veteran Richard Gasquet next in the third round, whom Nadal boasts a remarkable 17-0 head-to-head record against.

Nadal's 2-6 6-4 6-2 6-1 win over Fognini also meant he became the first player to qualify for the season-ending ATP Finals in Turin too.

But the current world number three has bigger fish to fry, needing to maintain his perfect 2022 record at majors for a fifth US Open crown.

If he succeeds, Nadal will not quite claim a calendar Grand Slam - achieved only by five players in singles history in Don Budge (1938), Maureen Connolly (1953), Rod Laver (1962, 1969), Margaret Court (1970) and Steffi Graf (1988) - but he would have achieved a staggering 26-0 record at majors for 2022.

For a moment it seemed Rafael Nadal was in danger of a premature exit from the US Open against Fabio Fognini on Thursday but he steadied to improve his 2022 grand slam record to 21-0.

Nadal won the Australian Open and French Open titles earlier this year, but an abdominal injury forced him to withdraw from Wimbledon at the semi-final stage, handing Nick Kyrgios a passage to the decider won by Novak Djokovic.

The 22-time major champion is on a mission to make it three from four grand slam titles this calendar year in Djokovic's absence in New York.

The 36-year-old Spaniard will take on veteran Richard Gasquet next in the third round, whom Nadal boasts a remarkable 17-0 head-to-head record against.

Nadal's 2-6 6-4 6-2 6-1 win over Fognini also meant he became the first player to qualify for the season-ending ATP Finals in Turin too.

But the current world number three has bigger fish to fry, needing to maintain his perfect 2022 record at majors for a fifth US Open crown.

If he succeeds, Nadal will not quite claim a calendar Grand Slam - achieved only by five players in singles history in Don Budge (1938), Maureen Connolly (1953), Rod Laver (1962, 1969), Margaret Court (1970) and Steffi Graf (1988) - but he would have achieved a staggering 26-0 record at majors for 2022.

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 3-0 up in the fourth game 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, who amassed 37 unforced errors for the match, 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

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."