Russia's Tatiana Panova beat Kveta Peschke 6-4, 7-6 (8/6) on Monday in the opening round of the 170,000 dollar WTA tournament, handing the eighth seeded Czech her fourth-consecutive loss. The 40th-ranked player in the world, Peschke dropped both of her Fed Cup matches in a World Group tie a week ago.
Schnyder, who has a 33-13 record this season, is in search of her second title of the year. She won the Gold Coast tournament in Australia in January.
The 26-year-old will face wild card Caroline Wozniacki of Denmark in her first-round match Tuesday.
Zvonareva will meet American Meghann Shaughnessy in the opening round Tuesday.
Other winners Monday afternoon were Aiko Nakamura of Japan and Isreal's Shahar Peer. Nakamura, who rallied for a 6-7 (4-7), 6-0, 6-3 victory over American Abigail Spears, could face Schnyder in the second round.
American Chanda Rubin posted a 6-3, 6-4 victory over countrywoman Laura Granville and Puerto Rico's Kristina Brandi coasted to a 6-3, 6-1 triumph over American wild card Jessica Kirkland.