In flameproof serving ware, combine gorgonzola, milk, butter, and 1-2 pinches of salt. Cook over low heat, stirring and mashing the cheese with a wooden spoon until creamy, about 1-2 minutes.
Take the pan off the heat until you are close to draining the pasta.
Shortly before the pasta is done, add the cream and stir over medium-low heat until it is partly reduced.
Add hot drained pasta and toss well (for gnocchi, coat each batch as it comes out of the water).
Add the Parmesan, toss until it melts, and serve immediately with extra cheese at the table.