He will play defending champion Gilles Simon after the second-seeded Frenchman beat eighth-seeded Jose Acasuso of Argentina 4-6, 7-6 (4), 6-4.
The sixth-seeded Moya, who reached the final in 1996, was more aggressive and appeared fresher than Gasquet despite winning a grueling three-set quarterfinal on Friday.
Gasquet was plagued by inaccuracy, serving five double-faults and winning less than a third of second-serve points.
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