Verdasco, seeking his third ATP singles title, whipped France's Paul-Henri Mathier 6-2, 6-2.
Stepanek, seeded No. 8, fell behind another Frenchman, Richard Gasquet, but rallied for a 2-6, 6-2, 6-4 decision.
The Czech player is also trying for his third title on tour. He has a 2-0 record against Verdasco.
Ray Liotta sues skin care company over use of likeness
Aaron Carter is still in love with Hilary Duff