Radwanska, who is the defending champion of the event, got by Lourdes Dominguez Lino for a 2-6, 6-1, 6-4 win. She dropped serve twice in losing the opening set and didn't convert either of her break opportunities in the set.
However, she finished off all seven of her break chances the rest of the way, including getting four in the third set. Radwanska came out ahead of a series of seven breaks in the third set, taking the ninth game with a break and then holding serve to advance.
Also in the third round, ninth-seeded Marion Bartoli defeated Julia Goerges 6-3, 7-6 (7-2) but Romina Oprandi eliminated 11th-seeded Ana Ivanovic 6-4, 6-3. Carla Suarez Navarro beat Jelena Jankovic 7-5, 6-4 in a match that had 16 breaks in 22 games.
Second-seeded Maria Sharapova didn't lose her serve in a 6-2, 6-2 romp past Sorana Cirstea and qualifier Polona Hercog just got by Ekaterina Makarova 7-6 (7-5), 3-6, 7-6 (7-3) in a 2-hour, 49-minute match. Those matches completed the second round. Sharapova and Hercog are paired against each other in the third round.