Kirilenko beat the Czech for a fourth time in as many matches.
The Russian, already a champion in Estoril and Barcelona this year, will next meet fifth-seeded Pauline Parmentier after the Frenchwoman defeated Canadian qualifier Stephanie Dubois 6-3, 6-2 in the second round.
Third-seeded Kaia Kanepi of Estonia put away Russian qualifier Anastasia Pivovarova 6-1, 6-1 but No. 8 Chan Yung-jan of Taiwan couldn't keep her seeded rendezvous with Kanepi.
Chan was upset by 18-year-old Belgian Yanina Wickmayer 6-3, 7-6 (2).
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