Story so far: Djokovic claims 70th RG win, Shapovalov falls in five

The world No.1's next opponent will be Roland-Garros debutant Daniel Elahi Galan of Colombia.

No.4 seed Sofia Kenin rallied from a set down to overcome Romanian Ana Bogdan 3-6, 6-3, 6-2 and set up a third round with Alison van Uytvanck or Irina Bara.

Kenin, the reigning Australian Open champion, had her major breakthrough in Paris last year when she shocked Serena Williams in the third round to reach the second week of a slam for the first time.

The 21-year-old American has since gone from strength to strength and has recovered nicely this week after losing 6-0, 6-0 to Victoria Azarenka in Rome two weeks ago.

Meanwhile, Jelena Ostapenko is back in the Roland-Garros third round for the first time since 2017 - the year she made history in Paris as the first unseeded woman in the Open Era to lift the Coupe Suzanne-Lenglen.

The Latvian, unseeded this year as well, upset No.2 seed Karolina Pliskova 6-4, 6-2 to record the fourth top-10 victory of her career at a Grand Slam.

Ostapenko, who recently hired new coach Thomas Hogstedt, was in unforgiving form against the Czech, breaking the Ace Queen's serve five times and firing 27 winners in 17 games.

Nerves crept into the 23-year-old's game as she was serving for the victory, as she double-faulted on her second match point, but that only delayed the inevitable as she punched her ticket to the last 32 on the 69-minute mark.

"In the beginning it was tough, she was serving very well. I just knew before the match that I have to serve well as well and just be aggressive when I can and not miss many balls. Obviously she's No.2, she's a great player, so I knew it was going to be tough. I needed to bring one of the best tennis I can play to beat her," Ostapenko told Fabrice Santoro on court.

The world No.43 could face 2018 Roland-Garros finalist Sloane Stephens, who takes on Spaniard Paula Badosa later on Thursday.

Pliskova, who landed just 49 per cent of her first serves in, arrived in Paris coming off of a runner-up showing in Rome, where she sustained a left thigh injury that forced her to retire from her final against Simona Halep.

A former semi-finalist in Paris and an ex-world No.1, Pliskova was not feeling too confident heading into Roland-Garros.

"I don't think I'm a favourite there. Actually, now like in last couple of slams, I would not really think about being favourite there," Pliskova had told reporters in Rome before making the trip to the French capital.

The 28-year-old hasn't made it past the fourth round at any major since the 2019 Australian Open.

Fellow Czech Petra Kvitova had a better time on court on Thursday as she dismissed Italian Jasmine Paolini 6-3, 6-3 in 84 minutes to post her 25th match-win at Roland-Garros.

The seventh-seeded Kvitova, who was forced to miss the action in Paris due to injury last year, next plays Polona Hercog or Leylah Fernandez.

Over on Court 7, American Danielle Collins ended the inspired run of teen debutante Clara Tauson 6-2, 6-3, to reach the third round at Roland-Garros for the first time in her career.

Tauson, a 17-year-old former junior No.1 from Denmark, qualified for her first Grand Slam main draw this fortnight and upset No.21 seed Jennifer Brady in the first round. But the 26-year-old Collins - who was a semi-finalist at the Australian Open in 2019 - proved to strong for the youngster and now awaits Garbine Muguruza or Kristyna Pliskova in the last 32.

Dimitrov marches on, Agony for Shapo

Bulgarian Grigor Dimitrov, the No.18 seed, was a stylish 18/22 at the net in his 6-4, 7-6(5), 6-1 win over Slovak veteran Andrej Martin to move into the Roland-Garros third round for a fourth year in a row.

Dimitrov has made the semi-finals at each of the three other majors but has yet to make it into the second week in Paris. He'll attempt to break that barrier when he faces Spaniard Roberto Carballes Baena in the last 32 on Friday.

Carballes Baena claimed the first five-set victory of his career with a heroic five-hour effort against Canadian No.9 seed Denis Shapovalov.

Shapovalov twice served for the match at 5-4 and 6-5 in the decider but his Spanish opponent would not let go as he battled for a 7-5, 6-7(5), 6-3, 3-6, 8-6.

The 21-year-old Shapovalov committed a whopping 106 unforced errors in the contest.

"For me, it's amazing. It's the first time I beat a top-10 player, it's the first time in the third round of a Grand Slam and the first time I've won a match in the fifth set, so I'm really happy," said the 27-year-old from Tenerife after his milestone victory.