Vesnina cruised past Romanian Alexandra Duygheru 6-1, 6-4.
In another match, Hungarian Agnes Szavay, who is unseeded, led Olga Govortsova 6-3, 1-0 when the Belarusian player withdrew from the match.
Russian Elena Dementieva is the event's top seed and Italy's Flavia Pennetta is No. 2. Both received byes to the second round.
Defending champion Amelie Mauresmo of France has retired from the women's tour.
Copyright 2010 United Press International, Inc. (UPI).
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