Agnieszka Radwanska of Poland and former champion Li Na posted first-round victories on Monday at the French Open.
The fourth-seeded Radwanska, last year's Wimbledon runner-up, cruised past Shahar Peer of Israel by a 6-1, 6-1 margin in 57 minutes on the famed red clay of Roland Garros.
Radwanska, who has won two tournaments this year, has never advanced beyond the fourth round at Roland Garros. The 24-year-old made it to the third round last year.
Her sister, Urszula, beat 30th-seeded Venus Williams in the final match Sunday, 7-6 (7-5), 6-7 (4-7), 6-4.
Li, the 2011 champion, moved on with a 6-3, 6-4 win over Anabel Medina Garrigues of Spain. She'll next face American Bethanie Mattek-Sands, who handled Lourdes Dominguez Lino of Spain 6-4, 6-1.
Roberta Vinci, the No. 15 seed, discarded Stephanie Foretz Gacon by a 6-3, 6-0 margin and 20th-seeded Spaniard Carla Suarez Navarro beat Simona Halep of Romania 3-6, 6-2, 6-2.
In other action on Day 2, Zuzana Kucova of Slovakia took down 24th-seeded German Julia Goerges, 7-6 (10-8), 6-0, and Johanna Larsson of Sweden defeated Monica Niculescu of Romania by a 6-2, 6-3 score.
Defending champion Maria Sharapova will take on Su-Wei Hsieh later Monday.