Pre-tournament favourite Simona Halep survived a brief scare in her third round match against young pretender Daria Kasatkina in a Roland Garros rollercoaster on Saturday, winning 6-0 7-5 after initially threatening to brush past the 20-year-old Russian easily.
The third-seeded Romanian - a beaten finalist in Paris in 2014 - is being tipped as a title favourite after a stellar run-up on clay to this year's tournament.
Halep wrapped up the first set in 27 minutes and broke her Russian opponent's serve six times.
"It was a good match".
"I played really well at the beginning", a relieved and smiling Halep said courtside. I think it was a very high standard of tennis today.
What might also make her happy is the rain, which began yesterday around 5pm, means that her likely quarter-final opponent, Elena Svitolina, will have to play on two straight days. The two meet for their match on Saturday at Roland Garros.
Halep will next play No. 21 seed Carla Suarez-Navarro of Spain, who was a 6-4, 6-4 victor over 14th-seeded Elena Vesnina of Russian Federation.
No. 11 Caroline Wozniacki also ended the run of unseeded American Catherine Bellis, beating the teen 6-2, 2-6, 6-3.
Play was suspended Friday because of darkness with Bellis leading 5-2 in the second set and serving to level the match. She closed out the second set on Saturday and then went a break up early in the third set, before Wozniacki immediately broke back and again in the eighth game to serve out the match.
"I came to the French Open with a firm commitment, to not worry too much about the others", she said.
"You work all year for moments like this", said Cornet, who was tearful in her interview on court. I feel the forehand was much better than the first round, but still I can do much more with it. "I had good matches".
Garcia, seeded 28th, reached the fourth round of a Grand Slam event for the first time with a 6-4, 4-6, 9-7 victory over Su-Wei Hsieh of Taiwan.
Cornet has never advanced further than the fourth round in her 45 appearances in a Grand Slam event, the most among active women players to have never reached the quarterfinals of one.