Updated

Fourth seed Agnieszka Radwanska and former champion Li Na posted first-round victories Monday at the French Open.

The 2012 Wimbledon runner-up Radwanska cruised past Shahar Peer of Israel by a 6-1, 6-1 margin in 57 minutes on the famed red clay at Roland Garros.

Radwanska has never advanced beyond the fourth round in Paris. She was a third-round upset victim here last year.

Up next for the Pole will be Croat Donna Vekic.

The sixth-seeded Li, the 2011 French Open champion and this year's Australian Open runner-up, moved on with a 6-3, 6-4 win over Anabel Medina Garrigues of Spain. The Chinese star will encounter American Bethanie Mattek-Sands in the round of 64.

Meanwhile, eighth-seeded German left-hander Angelique Kerber downed German Mona Barthel 7-6 (8-6), 6-2 and 10th-seeded former world No. 1 Caroline Wozniacki of Denmark picked up her first win since early last month with a 6-3, 6-2 handling of British lefty Laura Robson.

Seventeenth-seeded American Sloane Stephens moved on by besting Italian Karin Knapp 6-2, 7-5, while former French Open and U.S. Open champion Svetlana Kuznetsova ousted 22nd-seeded fellow Russian Ekaterina Makarova 6-4, 6-2. The young American Stephens, who reached the semifinals at the Australian Open back in January, will face fellow countrywoman Vania King in her next outing.

Fifteenth-seeded Italian Roberta Vinci routed France's Stephanie Foretz Gacon 6-3, 6-0; 20th-seeded Spaniard Carla Suarez Navarro overcame Romanian Simona Halep, 3-6, 6-2, 6-2; Slovak Zuzana Kucova took out 24th-seeded German Julia Goerges 7-6 (10-8), 6-0; American Melanie Oudin dismissed 28th-seeded Austrian Tamira Paszek 6-4, 6-3; and 29th-seeded American Varvara Lepchenko leveled Croat Mirjana Lucic-Baroni 6-1, 6-2.

Several other women reached the second round, including Americans Mattek- Sands, King and Madison Keys, Canadian Eugenie Bouchard, Serb Bojana Jovanovski, France's Mathilde Johansson, and Slovak Jana Cepelova, who bested American Christina McHale 7-6 (7-3), 2-6, 6-4.