Victoria Azarenka, the No. 3 seed from Belarus, made quick work of the Italian former Roland Garros Champion, Francesca Schiavone, easily beating her 6-3, 6-0.
The Russian Maria Kirilenko (12) beat the veteran Bethanie Mattek-Sands, of the United States.
Maria Sharapova, the No. 2 seed and defending champion, dispatched Sloane Stephens, the No. 17 seed, 6-4, 6-3. Stephens was one of three women from the United States to make it to the Round of 16.
Jelena Jankovic, of Serbia, the No. 18 seed, beat Jamie Hampton, 6-0, 6-2, securing the final spot in the women’s quarterfinals.