( CNN ) -- Defending champion Li Na continued the defense of her French Open crown on Thursday with a second round win over Stephanie Foretz Gacon . Seventh seed Li , who became China 's first grand slam champion with her Roland Garros triumph last year , recorded a straight-forward 6-0 6-2 victory over the Frenchwoman in just 52 minutes . The 30-year-old will play unseeded American Christina McHale in round three , after the world No . 35 got the better of compatriot Lauren Davis . Li 's fellow grand slam winner Petra Kvitova also registered a comfortable win , beating 90th-ranked Pole Urszula Radwanska 6-1 6-3 . The 2011 Wimbledon champion , ranked No . 4 in the world , set up a meeting with Russian Nina Bratchikova . Former world No . 1 Caroline Wozniacki also looked in good touch as she scored a 6-1 6-4 victory against Australia 's Jarmila Gajdosova . The Dane , who is yet to win a grand slam title , has not clinched a WTA Tour title since August 2011 and has recently struggled with form and fitness . But having switched from being coached by her father Piotr to working with former Australian Open Champion Thomas Johansson , Wozniacki feels positive about her future . `` It 's been working well , '' the 21-year-old , who will face 23rd seed Kaia Kanepi in round three , told the tournament 's official website . `` He tells me what he thinks and he 's not soft . `` I do n't like when someone tells me , 'Oh , it 's great , it 's great ' when it 's actually terrible ... I want someone who is strict and tells me things how they are . '' Italy 's Francesca Schiavone , a beaten finalist in 2011 , battled back from one set down against Bulgaria 's Tsvetana Pironkova to set up a contest with Uzbekistan-born American Varvara Lepchenko . Lepchenko , ranked 61 in the world , advanced courtesy of a shock 7-6 ( 7-4 ) 4-6 6-4 win against former world No . 1 Jelena Jankovic . German 10th seed Angelique Kerber cruised past Bulgaria 's Olga Govortsova , winning 6-3 6-2 . The 24-year-old will play Italian No . 18 Flavia Pennetta in round three .
Li Na reaches the French Open third round after beating Petra Kvitova . Former world No . 1 Flavia Pennetta and Wimbledon champion Stephanie Foretz Gacon also win . 2011 runner-up Francesca Schiavone fights back to beat Roland Garros . No . 10 Angelique Kerber and 18th seed Li Na will play each in round three .