It was a great day for the highly ranked Americans at the Guadalajara Open on Wednesday, headlined by world number five Jessica Pegula and her 2-6 6-3 7-6 (10-8) comeback win over Wimbledon champion Elena Rybakina.

Pegula, who is now locked into the top-eight and therefore will qualify for the WTA Finals, struggled to win points on her serve in the opening set, but raised her 57 per cent success rate up to 69 per cent in the second set, and 66 per cent in the decider.

The American had to come from a break down in the second set to keep her tournament alive, and she will now face Canada's Bianca Andreescu in the third round.

Meanwhile, fellow United States star Coco Gauff was too good for Italy's Elisabetta Cocciaretto, winning 7-6 (7-1) 6-3 to book a third-round clash with another Italian, Martina Trevisan, who earned her way there with a 6-0 4-6 6-3 win over Katerina Siniakova.

The other two seeded Americans were also successful, with 13th seed Madison Keys coming from a set down to defeat Ajla Tomljanovic 3-6 6-4 6-3, and 14th seed Danielle Collins repelled the challenge of Magdalena Frech 6-3 6-4.

There were positive signs for former world number five Eugenie Bouchard, who ended up losing, but showed she still has her talent by taking a set off world number 23 Jelena Ostapenko in a 7-5 2-6 6-1 result.

Russian pair Anna Kalinskaya and Liudmila Samsonova both emerged in three-set outings, with Kalinskaya outlasting Elise Mertens 6-4 0-6 7-5, while Samsonova upset world number four Aryna Sabalenka 6-4 2-6 6-2.

World number 12 Veronika Kudermetova kept her WTA Finals hopes alive with a 6-4 7-5 win over Donna Vekic, and the Czech Republic's Marie Bouzkova ousted Colombia's Camila Osorio 6-3 6-1.

In the late window, Sloane Stephens eliminated Olympic gold medalist Belinda Bencic 6-4 6-4, and top overall seed Paula Badosa retired due to injury after losing the first set 6-2 against Victoria Azarenka.

World number one Iga Swiatek thrashed Coco Gauff to clinch a third straight WTA Tour semi-finals berth after moving into the San Diego Open final four on Friday.

Swiatek was irrepressible against the 18-year-old American, extending her head-to-head dominance to 4-0 with a 6-0 6-3 victory in 66 minutes.

The Pole won the first eight games of the match and always appeared in control with her reliable forehand a key feature.

Swiatek laced 13 winners with only nine unforced errors, breaking Gauff five times. The American committed 26 unforced errors for the match.

The victory is Swiatek's 62nd of the season, moving her closer to Angelique Kerber's 2016 mark of 63.

Swiatek will face fourth seed Jessica Pegula in the semi-finals as the Pole aims for her eighth WTA title of the season.

Pegula secured her berth in the final four with a 6-4 7-5 victory over compatriot Madison Keys in their first-ever meeting in one hour and 34 minutes.

Third seed Aryna Sabalenka was a surprise casualty as Croatian qualifier Donna Vekic continued her excellent week with a 6-4 6-7 (5-7) 6-1 in two hours and 37 minutes.

World number 77 Vekic has beaten former world number three Maria Sakkari and two-time major finalist Karolina Pliskova this week.

Second seed Paula Badosa was also bundled out by American Danielle Collins 7-6 (7-5) 6-4. Collins will meet Vekic in the last four.

World number one Iga Swiatek commenced her San Diego Open campaign with a hard-fought three-set victory over Chinese lucky loser Zheng Qinwen in rainy conditions on Thursday.

The 2022 French Open and US Open champion triumphed 6-4 4-6 6-1 in two hours and two minutes, bouncing back strongly after losing the second set.

Zheng's power and forehand top spin proved challenging for the Pole, who was solid from the baseline to secure her 11st tour quarter-finals appearance this season.

The Chinese had broken Swiatek to lead 1-0 in the third set, but the top seed responded in trademark style, improving her record in the United States this season to 21-1.

Swiatek will take on eighth seed Coco Gauff in the quarter-finals, with the match-up marking a re-match of this year's French Open final.

Gauff worked her way into the last eight with a 6-4 4-6 6-3 victory over 2019 US Open champion Bianca Andreescu.

The 18-year-old American also had to fight back from a set down in the third set to win in a match that lasted just over two-and-a-half hours.

Third seed Aryna Sabalenka fought back from a lopsided opening set to knock out American Sloane Stephens 1-6 6-3 6-2 in two hours and one minute. The Belarussian will take on Donna Vekic in the next round.

Second seed Paula Badosa eased into the last eight, winning in 53 minutes against American qualifier Louisa Chirico 6-0 6-3. Badosa will face Danielle Collins in the quarter-finals.

Madison Keys triumphed over eighth seed Daria Kasatkina 6-4 6-3 in one hour and 27 minutes to secure a quarter-final date with fourth seed Jessica Pegula.

Coco Gauff won the battle of the American teenagers as she progressed into the San Diego Open second round with a 6-3 6-3 over Robin Montgomery on Wednesday.

The 2022 French Open finalist beat fellow 18-year-old Montgomery in a rain-affected match in one hour and 23 minutes, to clinch a last-16 clash with Bianca Andreescu.

The match marked Gauff's first game on tour since losing to Caroline Garcia in the US Open quarter-finals last month, although she had to endure an overnight rain delay, resuming on Wednesday up 6-3 3-2.

Gauff only needed 20 minutes on Wednesday to close out the victory, finishing the match with 3-0 aces, winning 76 per cent on her first serve and converting four of seven break points.

Croatian qualifier Donna Vekic continued her strong run with a 6-3 6-2 win over 2022 US Open quarter-finalist Karolina Pliskova. Vekic moved into the third round, having beaten Maria Sakkari in the first round too.

Fourth seed Jessica Pegula eased her way into the third round with a 6-3 6-1 victory over wild card Coco Vandeweghe in only 69 minutes. Pegula can secure her first WTA Finals qualification this week.

Danielle Collins was another American victor, triumphing 6-2 6-4 over Italy's Martina Trevisan in one hour and 27 minutes, reaching her third quarter-final of the year.

Coco Gauff believes her and fellow teen Robin Montgomery are products of Venus and Serena Williams' legacy as the Roland Garros runner-up looks to inspire the next generation of African-American talent.

The two 18-year-old Americans collided in the opening round of the San Diego Open, with Gauff prevailing 6-3 6-3 in what was her first match since defeat by Caroline Garcia in the US Open quarter-finals last month.

This season's Roland Garros finalist is widely believed to be the next dominant player from her nation following the retirement of Serena Williams at Flushing Meadows.

Along with sister Venus, the Williams sisters won a combined 30 major singles titles during their highly decorated careers, as well as 14 grand slam triumphs in women's doubles, in which they are also the only pair to win a career golden slam.

And Gauff hopes she can follow the sisters' well-trodden footsteps, while also going on to serve as an inspiration herself.

"It definitely affects the future a lot," she said during her post-match interview. "If Serena and Venus saw this today; two 18-year-olds - both African-American - playing on the WTA 500 level - I think they would be proud.

"I think both of us are products of their legacy. I'm grateful that I had those examples to follow after, and I hope I can be an example myself."

On the match, she said: "It was the first time playing someone younger than me in probably at least seven years. It was definitely a different feeling for me.

"I know Robin very well, we went on a couple of USTA trips back when we were about eight-years-old. She played really well, I expected a good level from her. I was pretty impressed with how well she was striking the ball; it was difficult for me."

Donna Vekic produced a spectacular second set to shock world number seven Maria Sakkari 7-6 (7-3) 6-1 in the first round of the San Diego Open on Tuesday.

After a hard-fought first set where both women were able to convert one of their four break point opportunities, Vekic took control in the tie-breaker and carried that momentum in the second set.

Vekic won 65 per cent of her service points in the second set, while Sakkari could only muster a 47-per-cent success rate, despite having a significant edge in first-serve accuracy (79 per cent to Vekic's 53 per cent).

The Croatian only had two break point opportunities, and that is all she needed, taking both to run away with one of the biggest wins of her career.

Vekic will play Karolina Pliskova in the second round after the Czech defeated America's Caroline Dolehide 6-3 6-4.

Pliskova, ranked 22nd in the world, had no issue with the world number 181 in one of Tuesday's biggest mismatches, nabbing a break-to-love in the first set before taking a quick double-break to begin the second.

World number 11 Daria Kasatkina was too strong for Leylah Fernandez, cruising to a 6-2 6-2 victory in exactly one hour.

Sloane Stephens earned a shot against world number five Aryna Sabalenka in the second round after getting the better of Switzerland's Jil Teichmann 6-1 7-6 (7-2).

World number 13 Garbine Muguruza was clearly not at 100 per cent, retiring hurt after losing the first five games of her match against China's Qinweng Zheng, and Coco Gauff will resume her contest against Robin Montgomery leading 6-3 3-2 after rain halted the action for the day.

After once being considered one of the top young prospects in all of tennis, Caroline Garcia says she feels like she is finally prepared to handle everything that is required to deliver on the biggest stages.

In her toughest matchup of the tournament so far, the Frenchwoman was emphatic as she comfortably handled rising star Coco Gauff 6-3 6-4 in Tuesday's quarter-final.

Garcia, 28, shot onto the international stage when she was impressive before ultimately losing to Maria Sharapova back in 2011 when she was just 17 years old.

At the time, Andy Murray tweeted that she would be a future world number one, and she appeared to be on that path when she peaked at fourth in the world in 2018, before a couple of rough years had her residing outside of the top 50.

Now in career-best form, Garcia has 31 wins from her past 35 matches, including 13 wins in a row and six straight-sets victories on the trot.

Speaking to the media after her quarter-final triumph, Garcia said the long, winding journey to this point has only given her valuable experience.

"When it was 2011 after the Sharapova match, it was a lot of pressure coming from actually nowhere," she said. "I was 150, 200 in the world, 17 years old. My game was not ready. 

"I was not able to play that consistent, this kind of level. The weeks after I went back trying to play the same level, but it was not possible for me.

"It was tough because people were expecting a lot. But the game, I was not ready for anything like that. It took me some time to come step-by-step to the top.

"End of 2017, 2018 was a great year, a lot of success. Yeah, I made some mistakes. We made some mistakes. I really hope and think we can learn from it.

"Now, it's a new year, trying to learn from every challenge. I think I've grown up a lot with all the challenges on and off court. Off court, it's very important to manage all of it."

Touching on what has clicked in her recent run, Garcia said she has figured out what works for her, which has simplified everything.

"I'm just trying to focus on my game, on what I like to do, and how is the best way for me to play tennis," she said.

"The path is very clear right now, which direction I have to go, under stress, under pressure. I'm just trying to follow this path. That's how we prepare with the team. We try to do the best we can in this direction.

"It was not that clear in the past. It was not that clear. I mean, I've always been very aggressive. I always try to put the pressure on the other one to be on the court.

"But I was younger… and now [I can] accept that it's actually the only way for me. So if I want to do good, I have to go that way. Yeah, now it's way more clear.

"Obviously with a lot of wins, I'm having fun playing. I can see so many things I can still improve, so it's a great challenge for our team."

Garcia will play world number five Ons Jabeur in the semi-final, with Jabeur winning both of their two previous matches since turning professional.

Coco Gauff dispatched Zhang Shuai in straight sets to become the youngest US Open quarter-finalist in 13 years.

The 18-year-old American fan favourite won 7-5 7-5 on Sunday, sealing her place in the last eight.

Gauff's victory makes her the youngest player to have reached the quarters at Flushing Meadows since Melanie Oudin in 2009.

Oudin, another American, was 17 at the time, and lost her last-eight tie to eventual runner-up Caroline Wozniacki.

Caroline Garcia is next up for Gauff, who will face either Ons Jabeur or Ajla Tomljanovic should she overcome the US Open quarter-final debutant.

Australia's Tomljanovic followed up her defeat of Serena Williams with a 7-6 (10-8) 6-1 win over Liudmila Samsonova, snapping the Russian's 13-match winning streak and reaching her second career grand slam quarter-final in the process.

World number five Jabeur, meanwhile, made history by becoming the first North African woman to make the US Open quarter-finals in the Open Era.

She is the third woman from the African continent to do so, with South Africans Maryna Godwin (1968) and Amanda Coetzer (1994, 1996 and 1998) having previously achieved the feat. Jabeur defeated Veronika Kudermetova 7-6 (7-1) 6-4.

Fan favourite Coco Gauff said the reception she has received in New York is different to anything she has experienced before after defeating Zhang Shuai 7-5 7-5 on Sunday.

In a closely contested battle, Gauff was just a little too good, winning 52 per cent (91-of-176) of the total points, while creating 11 break point opportunities compared to nine for Zhang.

It continues a terrific run of form for the 18-year-old, who will break into the top 10 of the world rankings for the first time when it updates this coming week.

Speaking to the media after advancing to the quarter-finals, Gauff compared the atmosphere inside Arthur Ashe Stadium – where she has played every match this tournament – to an NBA game.

"It's way different [to a normal tennis crowd]," she said. "On the 6-5 changeover, people were saying 'let's go, Coco' – I was literally trying not to smile. 

"I was, like, I've got to stay in the zone. Inside I was trying my hardest not to smile. This is a surreal moment for me – on Arthur Ashe Stadium and people are chanting my game. I feel like I'm at an NBA game.

"That's a special thing about tennis. When you go to a football game or an NBA game, people are chanting the team's name. That's great as a player. 

"For you to have the whole crowd chanting your name specifically is something I won't take for granted."

When asked if the incredible attention she has received this week has been a distraction, she said it only helps her in the heat of the contest.

"I think it depends on the player – for me though, I just feed off of it," she said. "I think it helps me more. 

"I mean, for some players, they prefer a more chill, relaxed environment. For me, if anyone has seen me play, I like to get pumped up. The New York crowd seems to like it too."

A meeting with the in-form Caroline Garcia is scheduled for the quarter-final, and she said it is no secret that she is one of the hottest players on tour right now.

"I think she's playing the best tennis she's played in a long time," she said. "It's going to be a challenge. 

"When you play these players that are hot, I think it's more of a mental challenge. You just gotta accept she's going to hit some great shots, because I know she will.

"I think my mentality has been great. I played I feel like two similar opponents, Maddie Keys, who can hit some unbelievable shots from the wings. Same with Shuai today. She was hitting some great shots. 

"I think I was doing a good job of accepting it, clapping my hands, moving on to the next point. I think I'm going to have to do that for the next match."

Gauff and Garcia have played twice before, with the American winning both matches against the Frenchwoman.

Zhang Shuai went winless in her first 14 appearances at major tournaments but has turned her fortunes around as she prepares for a US Open fourth-round clash with Coco Gauff.

The Chinese tennis player was said to be considering retirement in 2015 after 14 unsuccessful attempts at grand slams, though was convinced to keep fighting by friend and fellow competitor Sam Stosur.

Simona Halep at the 2016 Australian Open was the first scalp Zhang claimed at a major before she went on to reach the quarter-finals.

The 33-year-old, who has two grand slams titles in doubles with Stosur, has not looked back from that win over Halep and has made it to the second week at all four majors in 2022.

"This year, I already have three third rounds," Zhang said after her third-round win at the US Open. "Oh my god, I won six matches! Before I couldn't win one match in many, many years. How happy!

"That's why when we meet some players who want to stop or feels sad after the match, I always tell them next match, see how you are better.

"When I started the tour, how bad [were my] results? No one was worse than me. [These girls are] much better than me, right? You guys are still young. Keep trying."

Gauff awaits Zhang in the round-of-16 as the latter searches for a maiden major success and fourth singles title.

Tributes have poured in across the sporting world for Serena Williams following her apparent US Open swansong on Friday, though the 23-time grand slam winner has kept the door ajar on a shock return.

The American, widely considered one of the greatest sportspeople of all time, suggested she would step away from top-level tennis following the tournament at Flushing Meadows.

Following a 7-5 6-7 (4-7) 6-1 loss to Australia's Ajla Tomljanovic in the third round, her journey now looks to be over – though the 40-year-old admittted "you never know" when asked about future appearances.

Her likely last dance, however, has prompted an outpouring of glowing tributes from far and wide, with a host of major names paying their respects to an unparalleld career.

15-time major-winning golfer Tiger Woods called her "the greatest on and off the court" while four-time NBA champion LeBron James hailed her as "so dope".

Coco Gauff admitted it would be a "lifelong dream" to face Serena Williams at the US Open, in what is likely to be the latter's final tournament of a glittering career.

Gauff reached the second week at Flushing Meadows in the women's singles for the first time after cruising to a 6-2-6-3 win over Madison Keys on Friday.

The number 12 seed saw off her fellow American in composed fashion to book her place in the last 16, exceeding her previous best result at the US Open in 2019.

Gauff was largely in control against the number 20 seed Keys to deliver near-flawless performance, chasing a second grand slam final of the year after finishing as runner-up at the French Open to Iga Swiatek.

She will face China's Zhang Shuai in the next round, but when asked if she will watch Williams' match against Ajla Tomljanovic later in the day during her on-court interview, Gauff said she would, adding: "It's been amazing watching Serena's matches so far. I don't know when I'd be due to face her but that's the goal.

"It's been a lifelong dream of mine to do that. Five years ago yesterday I was watching Venus and Serena play here. It's crazy to be on this court now.

"I tried to flex to my friends that I had courtside seats, now I'm on the court!"

Should both remain in the tournament, Gauff and Williams would face each other in the semi-finals.

Gauff also paid tribute to Keys, and to the crowd at Arthur Ashe Stadium, saying: "[The win] means a lot to me... I missed my alarm and was so late. I was here until 9pm last night and lost a doubles match [with Jessica Pegula].

"Kudos to my team, they got me up for it.

"I wasn't sure how the crowd was going to go. We all love Madison... I'm good friends with her off the court, but having support here meant a lot."

Serena Williams' former coach Rick Macci does not foresee a dream US Open triumph for the retiring legend, but believes the Flushing Meadows crowd could help her enjoy a strong run.

Williams, who announced she was "evolving away" from tennis earlier this month, will begin her final US Open campaign against Danka Kovinic on Monday.

While the 40-year-old's tally of 23 grand slam titles is the most of any player in the Open Era (since 1968), she remains one victory short of Margaret Court's all-time record of 24. 

But Macci, who coached both Williams and older sister Venus at the beginning of their trophy-laden careers, struggles to see her adding one final title before signing off.

"They asked me can Serena Williams win the US Open and I said she already has, six times," Macci told Stats Perform. 

"Can she? It's highly unlikely simply because people aren't afraid of her, the movement and confidence aren't like it was because she hasn't played, she hasn't played that much in the last year and you need to play to get your footwork and stamina. 

"The fighting spirit, the Compton street fight and the heart is there. If she gets a good draw, she could beat some people. I like how she played against [Emma] Raducanu [a 6-4 6-0 loss in Cincinnati earlier in August], I like that she's more aggressive, but this takes time. 

"If she can win a few matches who knows what could happen? That crowd in New York is going to take her down memory lane and make her even more competitive, who knows what's going to happen to the person on the other side of the net?

"That's why I was so impressed with Raducanu, the way she handled that moment, she played the best match she had in a year. 

"It cuts both ways but it's highly unlikely she can win the Open. 

"She's not even looking at it like that, she's letting everyone savour the moment and going out on her terms and it's going to be must-see tv."

Asked who he thought would emerge victorious at Flushing Meadows, Macci tipped another American to win on home soil, adding: "I'd love to see Coco Gauff because I know the family and I think she has wonderful potential.

"Iga [Swiatek] is vulnerable now because when you win 35 in a row, you feel like you just show up you're going to win. 

"Now that she's lost a few there's a little doubt there. It's wide open, I'm going to go out on a limb and I'm taking Coco Gauff."

As for the men's draw, which appears balanced after Novak Djokovic's non-vaccinated status prevented him from travelling to New York, Macci thinks third seed Carlos Alcaraz could be set for a maiden grand slam win.

"I've already gone out there and talked about this, Carlos Alcaraz is a generational player, he's going to transcend the game," Macci added.

"I've already had people blow back on me like, 'why isn't he winning?' Trust me, he just turned 19 and is [number] four or five in the world, I think he'll win multiple grand slams and he's the next real deal and he's my favourite to win the US Open on the men's side."

Djokovic is not alone in missing the US Open, with Roger Federer also absent as he continues his recovery from knee surgery, while Rafael Nadal is making his first appearance at the slam since triumphing in 2019.

Four different men have tasted success at Flushing Meadows in the last four years, while each of the last three editions have featured different women's singles champions, and Macci believes the issues endured by several ageing greats have made tennis more competitive.

"I think a lot of people are heading toward exit stage left and they're not quite at the top, [such as] Federer, or maybe there's the vaccination and maybe Nadal you're not quite where you were and [Andy] Murray," he added.

"Then you've got Serena, you've got these people who are household names that are out of the equation, more people are coming in and it changes everything when you don't have those roadblocks at the round of 16. 

"You're looking at the semis when before, Federer, Nadal, Djokovic and Murray just dominated. There was a time when those four were always in the semis. The women's you could almost predict, now you can't.

"It has nothing to do with the US Open because the young lady that won Wimbledon [Elena Rybakina], you never heard of her. It's just wide open and it's going to take a while to stabilise everything."