Peer, who is coming off a tournament championship at Guangzhou, China, last week, qualified for the Tashkent quarterfinals with a 6-2, 6-4 win over Kathrin Woerle. The No. 2-seeded Peer piled up six service breaks in the win.
Fourth-seeded Olga Govortsova also advanced to Friday's quarterfinals with a straight-set win, knocking out Vesna Manasieva 6-2, 6-3. She dropped serve just once in the match.
Local favorite Akgul Amanmuradova made the quarterfinals by taking out Ekaterina Bychkova in a tight 4-6, 7-5, 7-6 (7-4). Thursday's fourth second-round match found Alexandra Panova upsetting seventh-seeded Patricia Mayr 7-5, 6-1.
Top-seeded Yaroslava Shvedova will play No. 6-seeded Monica Niculescu in Friday's quarters. The other matches in the round have Peer going against Panova, Govortsova facing Darya Kustova and fifth-seeded Stefanie Voegele paired with Amanmuradova.
The Tashkent Open title is worth $37,000.