Stakhovsky, at No. 9, is the highest seeded player to get to the semifinals of this last tournament prior to the U.S. Open.
Stakhovsky had to complete his third-round match early Thursday and he did so by defeating Tommy Robredo 7-6 (7-5), 6-2. He then bumped off Baghdatis 5-7, 6-1, 7-6 (7-4).
His semifinal opponent will be Thiemo De Bakker, who coasted by Evgeny Korolev 6-4, 6-3.
No. 10 seed Viktor Troicki advanced with a 6-2, 6-3 victory over Radek Stepanek in the final match of the evening. Denis Istomin set up a semifinal match with Troicki by downing Teimuraz Gabashvili 6-1, 3-6, 7-6 (10-8).