The process for realizing biologically-compatible three-dimensional elements comprises sintering in forming means (6) and at a sintering temperature (T1), by passing an electrical current and applying a pressure, a volume (11) of forming material, obtaining formed concave and/or convex elements (1). Before the sintering operation, a granular material (12) is added to the volume (11) of forming material, which granular material (12) is removable from the formed concave and/or convex elements (1), having a melting temperature (T2) which is higher than the sintering temperature (T1); in this way pores (5) are obtained.