A process for manufacturing an integrated semiconductor device, envisages: forming a MEMS structure; forming an ASIC electronic circuit; and electrically coupling the MEMS structure to the ASIC electronic circuit. The MEMS structure and the ASIC electronic circuit are integrated starting from a same substrate including semiconductor material; wherein the MEMS structure is formed at a first surface of the substrate, and the ASIC electronic circuit is formed at a second surface of the substrate, vertically opposite to the first surface in a direction transverse to a horizontal plane of extension of the first surface and of the second surface.