Former world number one Ana Ivanovic , currently down to 62 in the world rankings, beat 32nd seed Yaroslava Shvedova 6-1 7-5, having seen off ninth-seeded Victoria Azarenka in the first round.
Among the past Grand Slam title winners hoping to join her in the third round with victories Thursday: defending French Open champion Sharapova, Victoria Azarenka, Li Na and Petra Kvitova.