Bearing assemblies and bearing packages, incorporating said bearing assemblies, utilize opposing polycrystalline diamond compact bearing surfaces which can be immersed in a process fluid such as a wellbore fluid. The bearing assemblies are mounted to support the shaft for both axial and radial loading of the shaft. A static bearing surface is mounted in a static bearing housing. A rotating bearing surface, which opposes the static bearing surface, is mounted in a rotating bearing housing which supports the rotating shaft and co-rotates with the shaft. The rotating bearing surface opposes the static bearing surface and is rotatably supported thereon.