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

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.

Manchester United manager Erik ten Hag has rejected the notion that Cristiano Ronaldo needs to accept being a bit-part player after failing to secure a move away from Old Trafford.

Ronaldo had tried to engineer a move away from Old Trafford after requesting a transfer, but failed to find a suitor to satisfy his desire for Champions League football and to challenge for trophies prior to the window closing on Thursday.

The five-time Ballon d'Or winner, who has another year on his United contract, was used off the bench in a 26-minute cameo in United's 1-0 win at Leicester City on Thursday. Ronaldo has only made one start this Premier League season, with four appearances off the bench.

The 37-year-old missed United's pre-season tour of Thailand and Australia for personal reasons, and Ten Hag suggested that regaining match conditioning was behind his substitute role rather than falling down the pecking order, and that he may come into the starting XI in coming weeks.

"It is really early in the season," Ten Hag said. "We have a squad, more than 11 starting XI players. That's what you see now.

"Players who are now on the bench can play in one, two or three weeks.

"We are raising a team, they are sticking together, they fight for each other, cooperate. Now we have to step up further."

Ronaldo is yet to score this term for United, but netted 24 goals from 38 appearances in all competitions last season, including a team-high 18 Premier League goals.

The Portuguese icon had been linked with Chelsea, Atletico Madrid, Sporting CP, Napoli and Bayern Munich in recent weeks but nothing materialised.

Serena Williams and sister Venus were unable to advance past the first round of the doubles at the US Open, going down 7-6 (7-5) 6-4 against Czech duo Lucie Hradecka and Linda Noskova on Thursday.

It was the Williams' first doubles match at a grand slam since the 2018 French Open, and their first at the US Open since 2014, less than 24 hours after Serena's stunning upset of world number two Anett Kontaveit.

Leading 5-4 in the first set, the sisters had two opportunities to break and secure the first set, but ultimately let them slip, before going down in a competitive tiebreaker.

They were far from outclassed, winning 48 per cent (49-of-102) of the points in the opening set, and 45 per cent (33-of-74) in the second.

After going down 3-0 in the second frame, instead of rolling over, the Williams sisters fought back, pulling it back to 4-4, but that would be their last stand before dropping the next two games and the match.

There was no on-court interview for the Americans, although 17-year-old Noskova called it "a special moment" and said "I was really lucky" for the opportunity to play against her heroes.

Serena will continue her singles campaign in the third round on Saturday night against unseeded Australian Ajla Tomljanovic.

One of the most famous power punchers to ever live, Earnie Shavers, passed away on Thursday a day after his 78th birthday.

Shavers amassed a 74-14-1 record between 1969 and 1995, and he was 54-5-1 by 1977 when he earned a world heavyweight title fight against Muhammad Ali at Madison Square Garden.

Shavers lost a 15-round decision to Ali, who famously declared after the fight "Earnie hit me so hard, it shook my kinfolk in Africa".

Fellow heavyweights often spoke of Shavers' power, with George Foreman once telling David Letterman during a late-night talk show conversation about the hardest punchers he ever faced "I never fought Earnie Shavers, thank goodness".

Of his 74 career wins, 68 came by knockout, including 23 in the first round.

Chelsea have completed the signing of Juventus midfielder Denis Zakaria on a season-long loan deal.

The Switzerland international will spend the remainder of the 2022-23 campaign at Stamford Bridge, while it has been reported there will be an option to buy in the deal.

Chelsea were in the market for a midfielder, with Thomas Tuchel keen to bolster the area in the wake of N'Golo Kante's injury issues.

They had been linked with a move for PSV's Ibrahim Sangare, though instead turned their focus to Zakaria on Thursday.

Zakaria joined Juventus from Borussia Monchengladbach on a four-and-a-half-year contract in January, scoring on his debut in a 2-0 win over Hellas Verona.

The defensive midfielder suffered an abductor injury in February and has only made 15 appearances for Juventus across all competitions,

He has started just once in Serie A this season – that coming in the opening-day victory over Sassuolo.

"I want to say hi to all the Chelsea fans. I'm very happy and proud to be a Blue and I cannot wait to see you soon at Stamford Bridge," said Zakaria.

Zakaria was Chelsea's second arrival of the final day of the transfer window, after Pierre-Emerick Aubameyang from Barcelona, and could make his Chelsea debut when the Blues welcome West Ham to Stamford Bridge in the Premier League on Saturday.

His arrival finishes off a busy window, with Raheem Sterling, Marc Cucurella, Kalidou Kouilbaly and Wesley Fofana joining too.

Brighton and Hove Albion have signed Billy Gilmour from Chelsea for a fee reported to be in the region of £7million, rising to £10m with add-ons.

Scotland international Gilmour was seen as one of Chelsea's brightest prospects when he broke through in the 2019-20 season under Frank Lampard.

Yet Gilmour struggled to build on that impressive early form and was loaned out to Norwich City last term. He made 24 Premier League appearances as the Canaries were relegated to the Championship.

The 21-year-old midfielder was considered surplus to requirements by Thomas Tuchel on his return to Stamford Bridge, and has now made a permanent switch to Brighton.

He has signed a four-year deal with the Seagulls, with head coach Graham Potter thrilled with the signing.

"Billy arrives with a fantastic pedigree, having played in the Premier League and Champions League as well as for Scotland at last year's Euros. He will complement our existing midfield options," said Potter.

"That experience at quite a young age shows the strength of character he has and we're really excited by his potential.

"Now it's about allowing him the time to get used to a new environment and settling in to our club. We can't wait to work with him."

Everton have signed midfielder James Garner from Manchester United in a deal reportedly worth up to £15million.

Garner spent last season on loan at Nottingham Forest, scoring four goals and providing 10 assists to help the club win promotion to the Premier League.

He was expected to be given a chance to impress new United manager Erik ten Hag, but he signed a four-year deal with the Toffees on Thursday after completing a transfer apparently worth an initial £9m.

"I'm made up to sign for Everton. It's a huge step in my career and I want to help the team get better while progressing as a player," Garner told Everton's official website.

"I think Everton is the perfect place to do that. I can't wait to get started. The manager [Frank Lampard] has got a real plan for the club and for me.

"Working with him on a daily basis is major for me. Him and his staff can take me and the team to the next level. That's what I'm hoping for."

Garner will have one less midfielder to compete with for a spot in the starting XI after Andre Gomes joined Lille on loan for the remainder of the season.

Meanwhile, there was another exit from United on deadline day, with Tahith Chong joining Championship side Birmingham City on a four-year deal.

Chong spent last season on loan at the Blues, scoring one goal in 20 appearances.  

Alize Cornet is through to the third round of the US Open after defeating Katerina Siniakova 6-1 1-6 6-3, making it the first time she has been beyond the second round of every grand slam in a single season.

Cornet, who defeated reigning champion Emma Raducanu in straight sets to begin her campaign, was terrific with her return game early on, winning 54 per cent of the points off Siniakova's serve in the opening set.

Three double faults for Cornet and the inability to win a single point off her second serve led to a quick second frame for Siniakova, but she steadied in the decider, becoming the first Frenchwoman to win her opening two rounds of each grand slam in a season since Caroline Garcia in 2017.

Cornet has now won five of her past six matches and should be considered a threat given her victory over world number one Iga Swiatek at Wimbledon in July.

She will play the winner between Danielle Collins and Cristina Bucsa in her next match.

Erik ten Hag is happy with the progress Manchester United are making but still wants greater ruthlessness after only beating Leicester City 1-0.

United made it three Premier League wins in a row on Thursday with their slender victory at the King Power Stadium, a streak they had not managed since December.

Jadon Sancho got the only goal of the game in a first half that United generally controlled, but they were unable to increase their lead and that offered Leicester encouragement.

Still, Leicester struggled to take advantage of their own second-half improvement, with United's defence impressing once again with a solid collective effort as the hosts' chances only amounted to 0.6 expected goals.

United might have finished Leicester off towards the end during Cristiano Ronaldo's lively cameo, and although their wasteful finishing mattered little in the end, Ten Hag was not completely satisfied.

"It is another step forward, so we are happy with that," he told BT Sport.

"Again, good team spirit. We had 11 players the on pitch who fought for each other. Compact, good press, and scored a lovely team goal.

"There is room for improvements, still, but that is normal at this part of the season."

He added: "We can be dangerous in transition moments, we know that, especially the second half. And also in first half, there were many spaces that we did not exploit that well. With better decisions we should have scored a second goal.

"We have to be more [ruthless], but, as I said there is room for improvement, and we will work on that."

Sancho's winner was his second Premier League goal of the season, meaning the England international is already only one behind his total for last term.

Ten Hag acknowledged the winger's improved condition but was keen to focus on the collective and the team's unity.

"He had a really good pre-season, he invested a lot in pre-season and now in the season you see he can make the difference.

"He's a great player but also the whole team, because I think it's a good team goal.

"I'm happy with the clean sheet, and you see when we have 11 on the pitch who defend together and attack together, and when you add that in the energy, you see what we can achieve."

United are in action again on Sunday when their improved standing will be put to the test at home to an Arsenal side that have won all five of their games this season.

Manchester United must demonstrate a greater clinical edge following their narrow 1-0 victory over Leicester City, so says Christian Eriksen.

Having opened the season with back-to-back defeats, United made it three consecutive Premier League wins under Erik ten Hag, with Jadon Sancho's 23rd-minute strike enough to settle the contest at the King Power Stadium.

Although fully deserving of their half-time lead, the visitors' level dropped significantly after the restart. David de Gea made a tremendous save from James Maddison's free-kick, while James Justin blazed a wonderful opportunity over in stoppage time.

But Leicester did not enjoy too many clear-cut opportunities, with United's solid defence generally keeping the Premier League's bottom side at bay.

And while Eriksen has urged his team-mates to capitalise when in the ascendancy, he is encouraged by the strides United are making after they recorded successive 1-0 wins in the space of five days.

"From the start we had, we had a lot of things we needed to change, and we've done that by winning," he told BT Sport. "It hasn't been beautiful for 90 minutes, but we have three wins.

"At the moment, we're winning 1-0 and keeping it tight. Obviously, we want to do better, but I think this is a good start and we can take something from this. The three points is the most important.

"Similar to Southampton [on Saturday], we did very well until we scored. Then, we have to keep momentum, we have to kill the game earlier – otherwise, it's going to be a tight game until the end like today.

"We're looking good; we're getting the points and we're getting the base of what we need to do."

Meanwhile, Sancho proved the matchwinner with his second goal of the season, having also netted in the 2-1 victory over Liverpool at Old Trafford, applying the finishing touch to a fine team move.

Sancho missed pre-season preparations ahead of his maiden campaign at Old Trafford due to an extended break after helping England reach the Euro 2020 final, and feels he has benefitted from getting a full pre-season under his belt this time around.

"It was a great team goal. I'm happy that I got the goal for the team, and got three points," he said.

"Obviously, doing pre-season with the team [has helped me]. Last year, I missed pre-season, so I got to know the players a lot more [this year]. We've worked on [certain things], and I'm getting more comfortable.

"We hoped to start the season with two wins, but that woke us up. I'm happy that we got the third win today."

Iga Swiatek suggested there has been a lack of leadership at the top of tennis in how to deal with Russia's invasion of Ukraine after Victoria Azarenka was shunned by Marta Kostyuk at the US Open on Thursday.

Ukrainian Kostyuk elected not to shake hands with Azarenka following a second-round defeat at Flushing Meadows, instead merely tapping rackets.

That came after Kostyuk criticised the Belarusian for participating in a charity match for Ukraine, before the United States Tennis Association announced she would no longer be involved.

Belarus maintains close ties with Russia and has been under sanction from western nations for supporting Vladimir Putin after the Russian invasion of Ukraine in March.

Both situations led to a frosty atmosphere following the conclusion of the tie, which Azarenka won 6-2 6-3.

Asked if anything could be done to address tensions between players on the tour, world number one Swiatek, who booked her place in the third round with a 6-3 6-2 win over Sloane Stephens, said: "Well, basically I think it's already too late. I mean, it's never too late, you know, but I think the best time for ATP or WTA to do anything was when the war started, and where the tension was pretty big in the locker rooms.

"I think right now it's already pretty messed up, and maybe next time it's gonna be easier for us to handle it if somebody is going to guide us and somebody is going to even arrange some meetings between players and showing that we should be united.

"Even though there are countries who are invading other countries, we are tennis players. It's sad but it's not our fault that it's happening. Yeah, I think it would be much, much easier at the beginning to do that.

"Right now, it's kind of too late to fix that. But I think it's just in between players and their personal relationships how you're going to handle it and how you're going to communicate to each other.

"But from my case, right now it's easy to say that maybe there was lack of leadership, but at that time I didn't know what to do either. But there are smarter people than me, so they should kind of have an idea."

Victory over Stephens means Swiatek has now won 52 matches in 2022. The last players with more WTA-level wins in a single campaign were Ash Barty (57) and Kiki Bertens (55) in 2019.

Serena Williams is dominating the headlines, though, in what is likely to be her last tournament before retirement – a situation Swiatek is more than happy with. 

Asked if she felt like she was flying under the radar, Swiatek said: "Maybe a little bit, yeah, for sure. You can see the difference than on Roland Garros and on Wimbledon when I came back after winning Roland Garros.

"But I would say it doesn't really matter for me. If I'm going to play well and if I'm going to do my work on court, I know I will be fine in terms of everything that's going around.

"But, yeah, Serena totally deserves it and it's pretty obvious for me that she's going to be in the spotlight in this tournament. That's kind of her time right now. I'm just playing and focusing on that, and that's the most important thing for me."

Swiatek will face Lauren Davis in the next round after the American beat Ekaterina Alexandrova 0-6 6-4 7-6 (10-5).