Twenty third seed Kuznetsova beat the Belgian veteran 6-4 7-6 to move into a fourth round match against Francesca Schiavone who beat Romania's Monica Niculescu.
Men's eighth seed Andy Roddick has bounced back from a set down to beat Dutchman Robin Haase in four sets, while No.3 Novak Djokovic also progressed.
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Other third round winners include women's top seed Caroline Wozniacki and No.9 LI NA.
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