Anastasia Pavlyuchenkova fought back to win a pulsating French Open battle with her doubles partner Elena Rybakina and reach an elusive first grand slam semi-final.

A decade after playing in the last eight of a major for the first time at Roland Garros, Pavlyuchenkova finally broke new ground with a hard-fought 6-7 (2-7) 6-2 9-7 victory on Tuesday.

The 29-year-old had lost six grand slam singles quarter-finals but the 31st seed will do battle with surprise package Tamara Zidansek for a place in the championship match in Paris.

Rybakina beat the great Serena Williams to reach the last eight and gave another demonstration of her huge promise, but made 43 unforced errors in an entertaining contest that took two hours and 33 minutes to settle on Court Philippe-Chatrier.

After Kazakh Rybakina claimed the first break for a 3-1 first-set lead with clean striking off both wings, Pavlyuchenkova took a more aggressive approach and that paid off when she got back on serve at 4-3.

Rybakina, the 21st seed, took that setback in her stride, storming into a 5-0 lead after a tactical first-set battle was taken to a tie-break, which ended with Pavlyuchenkova putting a backhand into the net.

Pavlyuchenkova appeared to have missed out on a fourth chance to break in a long sixth game of the second set when she slipped, but looked up while she was sitting on the clay to discover Rybakina had made a mess of a simple smash.

The 29-year-old broke again to wrap up the set and maintained her momentum in the decider, charging into a 2-0 lead - with her backhand firing.

They were back on serve at 4-4 with the nerves jangling following four breaks in five games, both players looking understandably tense but still producing some high-quality tennis.

It was Pavlyuchenkova who claimed the decisive fifth break of a long final set to advance, earning a match point with a rasping forehand winner before her young opponent double-faulted.

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WINNERS/UNFORCED ERRORS

Pavlyuchenkova – 44/28
Rybakina – 46/43

ACES/DOUBLE FAULTS

Pavlyuchenkova – 5/2
Rybakina – 5/6

BREAK POINTS WON

Pavlyuchenkova– 6/17
Rybakina – 3/7

Serena Williams played down her prospects of winning a record-equalling 24th grand slam title at the French Open, insisting the standard on the WTA Tour is now so high that every match is a battle.

The three-time champion at Roland Garros made it through to the last 16 thanks to a 6-4 6-4 win over Danielle Collins.

However, the American - who has been stuck one slam behind Margaret Court's career tally ever since winning the 2017 Australian Open - had to work hard on Friday, including battling back from 4-1 down in the second set as she reeled off five games in a row to move on.

Williams is the only top-10 player left in her half of the draw following Aryna Sabalenka's exit earlier in the day, yet knows there is a long way to go in her quest to reign once more in the Paris.

"There's still a lot of matches, a lot of great players, as we can see," Williams told the media.

"There's so much depth in this game now, it doesn't matter if you're playing in the first round or not, you really have to fight for every match and nothing comes easy."

After struggling for form coming into the tournament, Williams feels tough contests like the one she had against Collins can only be beneficial.

"Today in particular, this whole week thus far, I just needed a win," the seventh seed said. "I needed to win tough matches. I needed to win sets. I needed to win being down.

"I needed to find me, know who I am. Nobody else is Serena out here. It's me. It's pretty cool."

Elena Rybakina – an impressive 6-1 6-4 winner against Elena Vesnina in little over an hour - is the next hurdle for Williams to clear.

SABALENKA SUNK, AZARENKA EASES THROUGH

With Ashleigh Barty forced to retire through injury and Naomi Osaka withdrawing from the event due to mental health concerns, Sabalenka was the highest seed left – well, she was until coming up against Anastasia Pavlyuchenkova.

Sabalenka rallied after losing the first set to draw level but then fell apart in the decider, serving four double faults and producing 17 unforced errors.

Pavlyuchenkova capitalised to complete a 6-4 2-6 6-0 triumph that avenges a loss to her opponent at the semi-final stage in Madrid during this year's clay-court swing.

Next up for the 31st seed will be Victoria Azarenka, the former world number one who eased past Madison Keys 6-2 6-2.

"I felt I played very disciplined today. I played smart. I tried to be aggressive," Azarenka said after winning in 70 minutes.

"My opponent, Madison, she really likes to dictate the points, so I tried to take that away from her, really step in, and make a lot of different balls so I’m pretty proud I was able to sustain my level."

MIXED FORTUNES FOR ROMANIAN DUO

Sorana Cirstea explained how a change in approach has helped her roll back the years after overcoming Daria Kasatkina in straight sets.

The Romanian's solitary quarter-final appearance at a slam came in the French capital 12 years ago but she has been in excellent form on clay this year, including claiming a title in Istanbul and a final appearance in Strasbourg.

"I'm taking it day by day, like I'm not going too far ahead with my mind," Cirstea told the media. "I'm actually enjoying all this process. Definitely I'm enjoying [it] much more than I did 12 years ago, and I think this comes with maturity."

While Cirstea has not made it this far in a grand slam for a long while, next opponent Tamara Zidansek is into the last 16 at a major for the first time.

Despite losing the first set in a hurry against Katerina Siniakova, the Slovenian rallied impressively to seal a 0-6 7-6 (7-5) 6-2 victory and continue an impressive run that was started by an upset over Bianca Andreescu.

Paula Badosa also needed three sets to overcome Romania's Ana Bogdan, including saving a match point, and extend her winning streak to eight matches as she came out on top 2-6 7-6 (7-4) 6-4. Indeed, for the season she now boasts a 16-2 record on clay.

Aryna Sabalenka has been eliminated at the French Open, meaning all three of the top seeds in the women's singles are now out.

After Ash Barty was beaten and Naomi Osaka withdrew this week, third seed Sabalenka joined them in exiting the tournament on Friday.

Number 31 seed Anastasia Pavlyuchenkova triumphed 6-4 2-6 6-0 in a battle lasting 100 minutes.

Sabalenka came into the French Open with form behind her having beaten Barty to win the Madrid Open a month after losing to the Australian in another final appearance in Stuttgart.

But depsite having 10 WTA titles to her name, Sabalenka's wait to make a big grand slam impact as a singles player goes on - she he is still yet to reach the quarter-finals at any of the four majors.

Sabalenka won only 10 of her 30 second-serve points as Pavlyuchenkova broke her on five occasions in the match, storming to victory in the decider.

Pavlyuchenkova will face Victoria Azarenka - who defeated Madison Keys - in round four.

Sixteen seeds have now been beaten or withdrawn in the opening days of action at Roland Garros up until the middle of Friday's play.

Serena Williams said her serve was the key to battling past Mihaela Buzarnescu 6-3 5-7 6-1 in the second round of the French Open on Wednesday.

The win improved Williams' second-round record in grand slams to 74-2, her only defeats at this stage having come against sister Venus Williams when Serena made her major debut at the 1998 Australian Open, and against Garbine Muguruza seven years ago at Roland Garros in Paris.

Serena Williams won 75 per cent of the points played behind her first serve and saved five of the seven break points she faced in the French capital midweek.

"I felt it was pretty good today," Williams said of her serve. "But I've been practicing my serve a lot. I've been playing unbelievable on my serve in practice. The other night was, 'wow'. I'm glad it came better today.

"My coach told me it's good that I'm doing it well in practice because eventually it will be good in the match.

"I had some really good chances in the second set to win that. If I would have won just one point here or there, like four or five times, it would have been a different second set.

"I know going into the third I just had zero in on those one important points. If I could just take those, it would be an easier time for me."

The 39-year-old will continue her quest for a fourth Roland Garros title and record-equalling 24th slam crown against compatriot Danielle Collins, who beat Ukrainian qualifier Anhelina Kalinina 6-0 6-2.

"She's been playing well," Williams added. "She's also a really awesome person off the court. I love seeing her in the locker room.

"Ideally, it would be great if we didn't have to play each other because I always want her to do super well."

BENCIC DUMPED OUT BY KASATKINA

Belinda Bencic – the 10th seed – was dumped out by Daria Kasatkina 6-2 6-2, meaning there are no top-20 players left in the bottom quarter of the draw.

Bencic joined world number two Naomi Osaka, Bianca Andreescu and Kiki Bertens in departing the tournament after a dismal performance against Kasatkina, who will play in the third round of a major for the first time since Wimbledon in 2018.

Kasatkina's serve was in rude health, with the Russian and 2018 French Open quarter-finalist never facing a break point and racking up eight aces.

"A lot has changed between 2018 and now," said Kasatkina. "There was one amazing year for me, which was important in a good and in the bad way.

"I learned a lot, and I think I became a little bit different, maybe more experienced, a bit more serious. Let's say I understand more why I'm winning or why I'm losing.

"At that time everything was just going with the wave, and I was not thinking that much. Now I'm analysing more of what's going on in the situation I'm in. Getting maybe a bit more mature."

The only player left in that quarter who has previously reached a grand slam semi-final is 20th seed Marketa Vondrousova, who breezed past Harmony Tan 6-1 6-3. 

SABALENKA SEES OFF COMPATRIOT SASNOVICH

Third seed Aryna Sabalenka booked her spot in the third round with a 7-5 6-3 win over fellow Belarusian Aliaksandra Sasnovich, despite tallying 34 unforced errors.

Sabalenka, who has the second-most tour-level wins this season with 27, said: "I'm really proud of myself that I was fighting no matter what, kind of trying to find my rhythm. I'm really happy with this win. It was a tough battle.

"I would say I definitely feel better this year, kind of believe that I can do well here on the clay court. I feel better and really happy to be here, to compete here."

Sabalenka will now face 31st seed Anastasia Pavlyuchenkova in the next round after the Russian defeated Ajla Tomljanovic 6-2 6-3. 

There were also wins for two-time grand slam champion Victoria Azarenka, who overcame Clara Tauson 7-5 6-4, and Madison Keys, who beat Leylah Annie Fernandez 6-1 7-5.

Aryna Sabalenka will have a shot at redemption when she faces top seed Ash Barty in the Madrid Open final after beating Anastasia Pavlyuchenkova in straight sets on Thursday.

World number seven Sabalenka squandered a one-set lead to lose to Barty in the Stuttgart Open final two weeks ago.

But she will have another crack at winning silverware in the Spanish capital in Saturday's final against Barty, who saw off Paula Badosa in straight sets in the other last-four match.

"I'm looking forward to the final," she said in her on-court interview. "First of all I will have a good rest and do everything I can to prepare myself as good as I can. 

"It'll be really interesting to play another final against Ash. I think it'll be a great battle. I think everyone coming here can see themselves winning the tournament. I'll do my best."

Sabalenka had not dropped a single set in Madrid in the lead-up to the semi-final and that remains the case after cruising past Pavlyuchenkova in a little over an hour.

The fifth seed converted four of her five break points and won 73 per cent of her second-service points.

Pavlyuchenkova, ranked 41st in the world, lost serve in the fourth and eighth games of the opening set and failed to hold on her first two service games in the second set.

Despite breaking Sabalenka in the seventh game, the Belarussian proved far too strong for her opponent and got over the line with a fourth ace of the match to reach her third final of the season.