A power semiconductor device including a first and second die, each including a plurality of conductive contact regions and a passivation region including a number of projecting dielectric regions and a number of windows. Adjacent windows are separated by a corresponding projecting dielectric region with each conductive contact region arranged within a corresponding window. A package of the surface mount type houses the first and second dice. The package includes a first bottom insulation multilayer and a second bottom insulation multilayer carrying, respectively, the first and second dice. A covering metal layer is arranged on top of the first and second dice and includes projecting metal regions extending into the windows to couple electrically with corresponding conductive contact regions. The covering metal layer moreover forms a number of cavities, which are interposed between the projecting metal regions so as to overlie corresponding projecting dielectric regions.