Russian seeds Svetlana Kuznetsova, Anastasia Pavlyuchenkova and Maria Kirilenko also went through, with the latter to face Canada's Aleksandra Wozniak after eliminating Australia's Jarmila Gajdosova.
In the absence of world No.2 Sharapova and 10th-ranked Zvonareva, Russian captain Shamil Tarpishchev has turned to two-time grand slam champion Svetlana Kuznetsova, as well as Anastasia Pavlyuchenkova, Maria Kirilenko and Elena Vesnina.