Kuznetsova was defeated by Caroline Wozniacki, 6-2, 6-2, and qualifier Ekaterina Makarova was a 6-3, 6-3 winner over Zvonareva. Amelie Mauresmo, last year's tournament runner-up, was leading 2-1 in the first set when she retired with a left thigh injury, giving Samantha Stosur a walkover.
Fourth-seeded Agnieszka Radwanska was tied 3-6, 6-3 with Virginie Razzano when the match was suspended because of darkness.
On Thursday, Bartoli is to play Kleybanova, No. 8-seeded Nadia Petrova goes against Makarova, Wozniacki faces Stosur and Dulko is to meet the Radwanska-Razzano winner.