An optical system capable of extremely high contrast imaging (about 10 -10) at separations comparable to the telescope's diffraction limit is critical for direct imaging of extrasolar terrestrial planets. The PIAA coronagraph (Guyon 2003) based on pupil apodization by geometrical remapping of the flux in the pupil plane seems to be especially adopted for the exoplanet imaging. Although this technique combines many of the advantages found separately in other coronagraphs, two serious concerns remain unanswered: optics manufacturability and effects of diffraction propagation. We describe here a hybrid PIAA/CPA (Classical Pupil Apodization) design in which the apodization is shared between a remapping system (the main apodizer) and "classical" apodizers (auxiliary apodizers). In this scheme, optics become easier to manufacture and diffraction effects can be decreased to a level consistent with a 10-10 PSF contrast in a wide spectral band. We show how the parameters of hybrid PIAA/CPA system can be optimized and present some results of optical testing for the high optical quality prototype of PIAA coronagraph.