Collision detection between two static triangle meshes?

Hi guys,
I want to use PhysX to detect all the collide pairs in a static scene which has lots of triangle meshes. But I have learned that PhysX’s does not support the collision detection between two triangle meshes. Are there any substituted methods can solve my problem?
If the PhysX couldn’t do such things, is there any other tools or algorithms to solve the issue?
Thanks!