A semiconductor package includes a substrate formed of electrically insulating material and having a die mounting surface, a first semiconductor die embedded within the substrate and comprising a first conductive terminal that faces the die mounting surface, a second semiconductor die mounted on the die mounting surface and comprising a first conductive terminal that faces and is spaced apart from the die mounting surface, and a first electrical connection that directly connects the first conductive terminals of the first and second semiconductor dies together, wherein the second semiconductor die partially overlaps with the first semiconductor die.