Peer advanced with a 6-2, 5-7, 6-4 win over Elena Likhovtseva Tuesday in the first round of the grass-court tournament and is paired against Aiko Nakamura in the second round.
Seeded players Marion Bartoli and Sybille Bammer also won Tuesday. Bartoli had little trouble in a 6-2, 6-3 win over Tathiana Garbin and Bammer posted an identical 6-2, 6-3 decision over Maria Kirilenko.
World No. 1 and event defending champion Justine Henin is the top seed for the tournament while Amelie Mauresmo is seeded second. They open their play on Wednesday.