Former French Open champion Ana Ivanovic of Serbia reached the third round by beating Elina Svitolina of Ukraine 7-5, 6-2 overnight.
The 11th-seeded Ivanovic dropped her own serve three times but broke Svitolina's serve six times.
She clinched victory on her second match point with a forehand winner down the line on Svitolina's serve.
Since winning in Paris in 2008 for her only Grand Slam title, the 26-year-old Ivanovic has reached only one quarterfinal at a major - the U.S. Open in 2012 - and has never been past the fourth round at Roland Garros.
She next faces No. 23 Lucie Safarova of the Czech Republic, who won 6-1, 5-7, 6-3 against Casey Dellacqua of Australia.