PARIS -- American
Sloane Stephens and former French Open champion Svetlana Kuznetsova of Russia both advanced to the third round after winning in straight sets Thursday.
Stephens, seeded 15th, won 6-1, 6-3 against Slovenia's
Polona Hercog, while Kuznetsova beat Camila Giorgi of Italy 7-6 (5), 6-3. Editor's Picks
Sloane Stephens, the top American remaining at the French Open, has settled in for a businesslike stay at Roland Garros, Jim Caple writes.
Baseline Buzz: Young Americans Sloane Stephens and Taylor Townsend are immensely talented, but Matt Wilansky asks who has the bigger upside?
Simona Halep is increasingly unclassifiable and increasingly unstoppable, writes Louisa Thomas.
Kuznetsova, seeded 27th, broke Giorgi's serve four times and next faces fifth-seeded
Petra Kvitova, who won 6-4, 6-4 against Marina Erakovic.
No. 6 Sixth-seeded
Jelena Jankovic won 7-5, 6-0 against Japan's Kurumi Nara, and No. 10 Sara Errani of Italy -- a runner-up in 2012 and semifinalist last year -- won 6-2, 6-4 against Germany's Dinah Pfizenmaier.
Another former champion earned a win Thursday, as
Ana Ivanovic of Serbia beat Elina Svitolina of Ukraine 7-5, 6-2.
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 here in 2008 for her only Grand Slam title, the 26-year-old Ivanovic has reached only one quarterfinal at a major -- the US Open in 2012 -- and has never been past the fourth round at Roland Garros.
Kristina Mladenovic, who beat second-seeded Li Na -- the former champion -- in the first round, followed up with a 7-6 (5), 3-6, 6-3 win against American Alison Riske.
Lucie Safarova of the Czech Republic also advanced. She will next play Ivanovic.
Also through to the third round are: No. 22
Ekaterina Makarova; No. 28 Andrea Petkovic, Kiki Bertens, Julia Glushko and Pauline Parmentier.
Bertens next plays Spaniard Silvia Soler-Espinosa, who downed Belgium's
Yanina Wickmayer 6-2, 6-4.
The Associated Press contributed to this report.