Baghdatis, from Cyprus, opened one of the last tune-ups for the Australian Open with a 7-6 (7-3), 6-1 victory over Latvian Ernest Gulbis. Baghdatis was the runner-up in last year's Australian Open to Roger Federer.
Two other seeded players opened Medibank play Monday with fifth-seeded Czech Tomas Berdych stopping Australian Robert Smeets, 6-2, 7-5, and Spaniard Fernando Verdasco upsetting eighth-seeded Frenchman Sebastien Grosjean, 6-4, 6-4.
The $436,000 Medibank International continues through Sunday. The champion takes home a check for $57,750.
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