A surface mount semiconductor device has a semiconductor die encapsulated in a molding compound. Electrical contact elements of an intermediate set are disposed on the molding compound. A set of coated wires electrically connect bonding pads of the semiconductor die and the electrical contact elements of the intermediate set. A layer of insulating material covers the coated wires, the die and the electrical contact elements of the intermediate set. Electrically conductive elements are exposed at an external surface of the layer of insulating material and contact respective electrical contact elements of the intermediate set through the layer of insulating material.