Roberto Carballes Baena stunned second seed Matteo Berrettini in a thriller at the Firenze Open, winning 5-7 7-6 (7-5) 7-5 in the last 16.

Berrettini edged a thrilling first set 7-5, which clocked in at 75 minutes long, and faced another stern challenge in the second.

At one point trailing 4-2, Berrettini fought back to set-up a tie-breaker that was equally tight, with Carballes Baena fighting back from 4-2 down to force a decider.

With the clock past the three-hour mark, Carballes Baena capped off a remarkable comeback in the third set to send Berrettini tumbling out of the tournament, coming back from a break down once again.

Earlier in the day, fourth seed Maxime Cressy was eliminated by American compatriot J.J. Wolf after a 6-3 6-4 defeat and fifth seed Aslan Karatsev was also eliminated, losing 6-1 6-7(6-8) 6-1 in a two-and-a-half-hour showdown.

At the Gijon Open, second seed Pablo Carreno Busta sealed a spot in the quarterfinals with a 6-4 7-6(3) victory over Brazilian Thiago Monteiro, forcing three errors from Monteiro in the second-set tie-breaker.

Fifth seed Tommy Paul secured safe passage to the quarter-finals, beating Nicolas Alvarez Varona 6-3 7-6 (7-3), with Pedro Cachin and Sebastian Korda among the day's other winners.

Novak Djokovic will receive no assistance from Tennis Australia in lobbying for his ban to the country to be lifted for next year's Australian Open, says boss Craig Tiley.

The Serbian was deported after having his visa cancelled on public health grounds ahead of this year's tournament having been initially allowed to enter the country in spite of his unvaccinated status, amid widespread furore over his apparent flaunting of strict regulations.

TA played a part in securing his arrival, with Djokovic under the belief a medical exemption would have allowed him to compete, and the 21-time grand slam champion indicated his hope to return despite a three-year ban from the nation.

Now, Tiley has said the governing body will not advocate for his return, and that it will ultimately be a decision for the Australian government.

"What we're saying at this point is that Novak and the federal government need to work out the situation, and then we’ll follow any instruction after that," he stated at the tournament launch.

"I did spend some time with Novak at the Laver Cup. We spoke generally. He said that he'd obviously love to come back to Australia, but he knows it’s going to be an ultimate decision for the federal government.

"He's accepted that position. It's a private matter between them. It's not a matter we can lobby on.”

The deadline for tournament applications is in December - and Tiley also revealed Russian and Belarusian players will be allowed to feature, albeit as independent athletes under a neutral flag.

The 2023 Australian Open is the first since the former invaded Ukraine earlier this year, and while Wimbledon barred players from both countries, they were permitted to compete at the French Open and US Open.

"At this point, Russian and Belarusian players will be eligible to play in the Australian Open," he said. "The only difference will be that they cannot represent Russia, cannot represent the flag of Russia.

"They cannot participate in any activity such as the anthem of Russia, and they have to play as independent players under a neutral name. But they will be welcome to the Australian Open in January."

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.

Andy Murray recovered from a break down in the first set to surge into the second round of the Gijon Open with victory over Alejandro Davidovich Fokina.

The three-time grand slam champion trailed 4-2 and 30-40 in the opener, but he saved break point with a brilliant volley before going on to hold and take command.

Murray won 10 of the next 13 games thereafter to claim a 7-5 6-2 win, and the former world number one felt Davidovich Fokina's frustration played a key role in the turnaround.

"In the first set, he was playing much better than me," said Murray, seeking his first ATP Tour title since prevailing in Antwerp in 2019.

"He had a lot of chances to get the second break of serve, and I managed to stay tough in those moments. At the 4-3 game, he played a bad game to give me the break back, and after that I started to play a little bit better.

"I think he was a bit frustrated, and then in the second set his level dropped a little bit, but the end of the first set was very important because he was playing very well and it was a difficult first set."

Murray will face either Pedro Cachin or qualifier Alexey Vatutin in the second round. Davidovich Fokina's fellow Spaniards Feliciano Lopez and Albert Ramos-Vinolas lost to Ilya Ivashka and Marcos Giron respectively. There was victory for one home hope, though, as Nicolas Alvarez Varona moved into round two.

At the Firenze Open, Alexander Bublik secured his 100th Tour-level win with a straight-sets victory over Cristian Garin, while Mikael Ymer thrashed Tim van Rijthoven 6-1 6-2.

Oscar Otte and Brandon Nakashima were also victors in Florence on Tuesday.

Anhelina Kalinina progressed to round two of the Transylvania Open after opponent Eugenie Bouchard retired injured in Cluj.

Ukrainian world number 45 Kalinina took the opening set 6-3 before a hip injury prevented Bouchard from continuing.

The Canadian revealed she had retired as a precaution having undergone an MRI on Monday, and did not wish to aggravate the issue any further.

"I'm just disappointed to have ended my tournament in Romania this way because I really loved being here in Cluj," she said. "I pulled my hip flexor a few days in practice. I tried everything to be ready for this match.

"I got an MRI yesterday, and didn't show anything too bad, so I thought I could play. But it was getting worse as the match went on. To avoid a big injury, I figured it would be best to retire.

"I absolutely hate retiring, I wish I could've done better here, but I hope to be back."

Fourth seed Anastasia Potapova beat Ann Li 6-2 7-6 (7-5) to set up a clash with Viktorija Golubic, who overcame Diane Parry in straight sets.

Seventh seed Xiyu Wang advanced in straight sets against home favourite Jaqueline Cristian, while Harriet Dart required just 64 minutes to wrap up a commanding 6-2 6-0 victory over Oceane Dodin.

In a first-round clash between two of the world's top-20, Danielle Collins eliminated Caroline Garcia 6-2 7-6 (7-4) from the San Diego Open on Monday.

Garcia, the world number 10, entered the contest off back-to-back losses for the first time since March, and Collins made it three in a row as she was just a little too good with both her serving and return game.

Collins won 63 per cent of her service points, with Garcia at 52 per cent, and she ended up securing five breaks in the match.

She will play Martina Trevisan in the second round after the Italian defeated Colombian qualifier Camila Osorio 6-3 6-4.

Neither player had an ace in the match, but the big differentiating factor was Trevisan's ability to win points off her second serve, converting 50 per cent of her chances while Osorio won only one of nine (11 per cent).

The only qualifier of the day to get a win was Louisa Chirico, who beat fellow American Alison Riske-Amritraj 1-6 7-5 7-6 (7-5).

Chirico, the world number 196, will be rewarded for her win with a showdown against world number four Paula Badosa.

Madison Keys had no issues dealing with Australian qualifier Ellen Perez 6-1 6-4 in just over an hour, and Coco Vandeweghe defeated Sofia Kenin 6-1 1-6 6-4.

In the last match of the night, Canada's Bianca Andreescu won a two-hour-and-40-minute battle against Russia's Liudmila Samsonova 7-6 (7-1) 4-6 6-2.

Seeds Ana Bogdan and Marta Kostyuk crashed out of the Transylvania Open in the first round.

Home hope Bogdan, seeded third in Cluj-Napoca, was beaten in straight sets by Jule Niemeier, who showed the quality that helped her reach the last eight of Wimbledon in a 7-6 (7-5) 6-2 win.

Ukrainian Kostyuk, meanwhile, lost in three sets to Jasmine Paolini.

The sixth seed took a tight first set but Paolini broke Kostyuk five times thereafter en route to a 5-7 6-3 6-4 triumph.

Eighth seed Anna Bondar enjoyed a better day, prevailing 6-4 6-2 over Elina Avanesyan, while there were also wins for Dayana Yastremska, Anna Blinkova and Ysaline Bonaventure.

Dominic Thiem produced a dominant display to cruise past Joao Sousa in the duo's first-round clash at the Gijon Open, only dropping two games for just the second time in his career.

The 2020 US Open winner did not face a single break point in his one-sided 6-2 6-0 victory on Monday, reaching the last 16 after 62 minutes.

It is just the second time in the Austrian's career he has lost as few as two games in a completed ATP-level match, having previously done so against Jaroslav Pospisil in 2013 (in a 6-1 6-1 win).

"Especially with the forehand, it was really good for basically the first time [since my injury]," Thiem said afterwards. "I'm very happy about it. This way is right, the direction is right."

Meanwhile, Argentina's Sebastian Baez was forced to retire when a set down to France's Constant Lestienne, and fifth seed Tommy Paul eased past 16-year-old home hope Martin Landaluce in straight sets.

Only one seed was in action at the Firenze Open on Monday, with Aslan Karatsev advancing courtesy of a walkover following an injury to Tallon Griekspoor. 

Barbora Krejcikova completed a fairytale home tournament as she won the Ostrava Open by beating world number one Iga Swiatek 5-7 7-6 (7-4) 6-3 in Sunday's final.

Krejcikova lifted the Tallinn Open last week for her first title of the season, and made it two from two with an impressive run to the final before a hard-fought triumph over Swiatek to earn a ninth straight victory and another championship trophy.

Swiatek herself had won 10 matches on the bounce, and the Pole raced to five of the first six games to lead the opener 5-1, though Krejcikova rattled off four straight games to level it up. 

However, after making it 6-5, Swiatek then found a crucial break to clinch the first set.

The second went all the way to a tie-break, which Krejcikova took the ascendancy of by putting herself 6-1 up, and despite a late Swiatek rally, the Czech 26-year-old finally levelled the match after watching four set points come and go.

In the decider, neither could find a break until the eighth game, with Krejcikova doing so to put herself within a game of winning.

And in an extraordinary final stand, Swiatek survived five championship points before her resistance was ultimately broken to deny her an eighth final victory in 2022.

It was Krejcikova's first win against Swiatek, having lost their previous two meetings, as the seventh seed sealed an incredible victory.

Elise Mertens claimed her first WTA title of the year after defeating Alize Cornet in straight sets to capture the Jasmin Open crown on Sunday.

The world number 42 reeled off the last 11 games as she soared to a dominant 6-2 6-0 victory after just 80 minutes in Monastir.

Mertens landed the seventh WTA title of her career - and first since the 2021 Gippsland Trophy - following a timely return to form off the back of a disappointing 2022 that had seen her reach just two quarter-finals.

The Belgian overcame Cornet in three sets when they met in St. Petersburg earlier this year, and she quickly gained the upper hand in the fifth contest between the pair.

Mertens rescued two break points to hold for 2-2, before breaking twice as she eventually cruised to the opening set.

A late wildcard in Tunisia, Cornet had progressed to her first final since Chicago last year without dropping a set, and was targeting her first silverware since triumphing in Gstaad four years ago.

But the world number 37 could not establish any momentum in her quest to get back into the final; nine double-faults certainly hindering her intentions.

Mertens fully capitalised. The fifth seed won 83 per cent of her first-service points, while breaking a further three times as she breezed to a commanding victory.

Taylor Fritz became the first American to win the Japan Open since Pete Sampras in 1996 after seeing off compatriot Frances Tiafoe with a victory that will take him into the top 10.

The 24-year-old beat Tiafoe in straight sets, though it was a tight affair as the match was decided via two tie-breaks, Fritz eventually triumphing 7-6 (7-3) 7-6 (7-2) to clinch the ATP 500 event.

Nevertheless, Fritz looked the composed player for much of the contest as he created eight break chances to Tiafoe's three – though the latter managed to hang in for the most part.

The only breaks of serve came in back-to-back games early in the first set, with Tiafoe quickly hitting back before later holding off two set points to force a tie-break.

He would have been confident going into it after winning 13 successive singles tie-breaks prior to Sunday, but Fritz blew Tiafoe away in both, with the second coming at the end of a set in which neither player gave an inch.

A third tournament victory of 2022 ensures Fritz will break into the top 10 on Monday and provides a real boost to his hopes of qualifying for the end-of-season ATP Finals.

"Crazy, I don't even think it's set in just how fast the last four or five days have been," Fritz said afterwards.

"It's so crazy, and I couldn't have written it any better. It's exactly what I needed for the race [to Turin for the ATP Finals], for my ranking, to kind of put me in a good position for the end of the year, so it's amazing."

Fritz will be eighth in the world when the new rankings are released, making him the first American man to break the top 10 since Jack Sock did so in 2017.

Novak Djokovic claimed the 90th ATP Tour title of his illustrious career after landing the Astana Open crown with a straight-sets victory over Stefanos Tsitsipas.

The Serbian also secured a place at next month's ATP Finals in Turin after prevailing 6-3 6-4 in just 75 minutes.

It was Djokovic's fourth piece of silverware of the season – adding to his triumphs in Wimbledon, Rome and Tel Aviv – and stretched his winning streak to nine matches.

The 21-time major winner had prevailed in each of his last six encounters with Tsitsipas and claimed a crucial break in game eight of the opening set, before serving it out to draw first blood.

Seeking his maiden ATP 500 title at the ninth attempt, Tsitsipas was aiming to join Djokovic in becoming only the second male player to win a tour-level title on all three surfaces this season.

However, the Greek ace hit 25 unforced errors throughout the contest to his opponent's seven and was broken again in game five of the second set.

Djokovic, who won 33 of his 38 first-serve points and did not face a single break point, subsequently sealed victory with a brilliant backhand winner to make it back-to-back titles following last week's triumph in Tel Aviv.

"I always hoped that I would be going to have a great career. Obviously, [I] didn't know the amount of finals I was going to play, the amount of tournaments I was going to win, but my intention was always to reach the highest heights in our sport.

"I'm just very grateful and blessed to be able to play this well at this stage of my life. I think the experience, probably, in these kinds of matches and big occasions helps as well to approach mentally in the right way.

"I could not ask for a better restart of the season. I'm super-pumped and motivated to end the season as well as I have done these past couple of weeks."

World number one Iga Swiatek will face Barbora Krejcikova in the Ostrava Open final after beating Ekaterina Alexandrova on Saturday.

Swiatek continued her stellar season with a 7-6 (7-5) 2-6 6-4 victory over the Russian.

A tie-break was needed to settle the opening set, with Swiatek securing a crucial break of serve when 6-5 up.

The Pole was caught off guard in the second set as Alexandrova took it the distance, before Swiatek claimed the solitary break of the decider to lead 4-3 and did not allow her opponent a way back.

Swiatek, who has 60 wins to her name in 2022, will do battle with Krejcikova in the championship match after she came from a set down to defeat Wimbledon champion Elena Rybakina 3-6 7-6 (7-4) 6-4.

Rybakina served 17 aces to Krejciokva's two, but the Czech 26-year-old battled to victory to put herself in the final of her home tournament.

At the Jasmin Open, Alize Cornet knocked out second seed Veronika Kudermetova with a 6-4 6-3 triumph to clinch her place in Sunday's final.

Cornet saved nine of 11 break points to beat the world number 12 and has not dropped a set all week at the tournament in Tunisia.

Elise Mertens awaits Cornet in the final after a 6-4 6-0 success over Claire Liu, who knocked out top seed Ons Jabeur on Friday.

Mertens broke Liu at 5-4 up to take the first set before emphatically sealing victory with a sublime second in which she won 24 of the 29 points.

Novak Djokovic progressed to the Astana Open final after Daniil Medvedev retired from their last-four clash due to injury.

The two played out a thrilling first two sets, with Medvedev taking the lead before Djokovic fought back to level the match via a tie-break.

However, the Russian was unable to continue after sustaining a leg injury, keeping Djokovic in the hunt for back-to-back titles when he competes in the showpiece, where he will face Stefanos Tsitsipas.

"I really hope that his injury is nothing too serious,” said Djokovic. "I know Daniil, he's a great guy, he's a fighter, he's a big competitor.

"He wouldn't retire a match if he didn't feel that he [could] continue or [if it wouldn't] worsen his injury. He told me that he pulled an adductor muscle in his leg.

"It was such a close match, particularly in the second set. I would probably say he was a better player on the court in both sets. I was fighting and trying to find a way.

"I found a way to win the second, but I'm just sad for the tournament and for these people who were enjoying the battle, and for Daniil that it had to end this way."

Third seed Tsitsipas started slowly in the first set against Andrey Rublev but managed to triumph 4-6 6-4 6-3 in Saturday's other semi-final.

"My mentality kind of changed," said Tsitsipas, who will seek his first ATP 500 title at the ninth attempt. "I played with more of an aggressive game style and didn’t have anything by luck."

At the Japan Open, Taylor Fritz battled back from 3-1 down in the deciding set against Denis Shapovalov to claim a 6-3 6-7 (5-7) 6-3 semi-final victory and book his place in his third ATP Tour final this season.

Third seed Fritz faces an all-American clash in Sunday's final against Frances Tiafoe, who dropped his first set of the week as Soonwoo Kwon bageled him, but the US Open semi-finalist recorded a 6-2 0-6 6-4 win.

"It was a weird match, but I'm happy to get through," said Tiafoe, who progressed into his second final of the season and fifth overall.

"It's not always going to be pretty, it's not always going to be the best stuff, but a win is what matters."

Home favourite Ons Jabeur was on the end of a big upset at the Jasmin Open on Friday as the world number two was eliminated by Claire Liu in the quarter-finals.

Jabeur saw off Ann Li and Evgeniya Rodina in straight sets to reach the last eight, but Liu – ranked 73 in the world – came out on top 6-3 4-6 6-4.

Liu is now into her second semi-final of the season and will face Elise Mertens, who defeated Moyuka Uchijima 6-0 3-6 6-4 in the final match of the day.

Second and third seeds Veronika Kudermetova and Alize Cornet will meet in the other semi after beating Diane Parry and Tamara Zidansek respectively in straight sets.

At the Ostrava Open, meanwhile, tournament favourite Iga Swiatek reached her 10th semi-final of the year with a 6-4 6-4 victory over qualifier Caty McNally.

Swiatek needed nearly two hours to seal her 59th victory of the season – just one short of tying Caroline Wozniacki, the most recent female to hit 60 wins in a calendar year (2017).

She will now face Ekaterina Alexandrova, who proved too strong for Tereza Martincova in a 6-1 4-6 6-1 victory.

Another grand slam winner in Barbora Krejcikova earlier beat Alycia Parks 7-6 (9-7) 6-3 on home soil to maintain her positive form, a week after triumphing at the Tallinn Open.

Awaiting her in the semi-finals is Elena Rybakina following the reigning Wimbledon champion's 7-6 (7-5) 6-4 victory against Petra Kvitova.