A packaged device, having a package, including a first dissipative region, a second dissipative region, a first connection element and a second connection element. A die of semiconductor material is arranged within the package, carried by the first dissipative region. The first and second dissipative regions extend at a distance from each other, and the first and second connection elements extend at a distance from each other between the first and second dissipative regions. The first dissipative region, the second dissipative region, the first connection element, and the second connection element are hollow and form a circuit containing a cooling liquid.