A semiconductor device comprises: a lead-frame comprising a die pad having at least one electrically conductive die pad area an insulating layer applied onto the electrically conductive die pad area. An electrically conductive layer is applied onto the insulating layer with one or more semiconductor dice coupled, for instance adhesively, to the electrically conductive layer. The electrically conductive die pad area, the electrically conductive layer and the insulating layer sandwiched therebetween form at least one capacitor integrated in the device. The electrically conductive die pad area comprises a sculptured structure with valleys and peaks therein; the electrically conductive layer comprises electrically conductive filling material extending into the valleys in the sculptured structure of the electrically conductive die pad area.