Tatiana Golovin earned her first WTA victory since March, beating Alona Bondarenko 7-5, 6-2 in another first-round match. Also, Sybille Bammer beat Marion Bartoli, 6-3, 5-7, 6-4, and Jill Craybas defeated Chandra Rubin, 6-2, 6-3. Bammer meets third-seeded Nicole Vaidisova in the second round.
Peer struggled through the first set, lost the first game of the second set and was trailing 0-40 in the second game when things began to click.
The 19-year-old Peer won 15 of 17 points after losing seven of the first eight of the second set.
Liu, a two-time U.S. college singles champion while at Stanford, was playing in her third professional tournament.
The 18-year-old Golovin injured her ankle in March at Miami against Maria Sharapova and dropped out of that event, the AP reports.
The 32nd-ranked Golovin sustained ligament damage and a bone bruise at Indian Wells.
She tried coming back for both the French Open and Wimbledon, losing in the first round each time. She played Fed Cup for France, and then lost her only match on a hardcourt at Cincinnati last week.
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Negotiations with Russia are possible if Moscow changes the goals of the special operation, the head of the Ukrainian Defence Ministry Oleksiy Reznikov said