1/4 cup plus 2 tablespoons unsalted butter, melted
3 oz finely grated Parmigiano-Reggiano (1 1/2 cups)
2 large eggs
2 cups of pasta or Marinara sauce (optional)
Whisk together milk, semolina, and 1/2 teaspoon salt in a 2-quart heavy saucepan and bring to a boil over moderate heat, whisking. Simmer, stirring constantly with a wooden spoon, until very stiff, 5 to 8 minutes.
Remove from heat and stir in 2 tablespoons butter and 3/4 cup Parmigiano-Reggiano. Beat in eggs.
Spread gnocchi mixture 1 inch thick on an oiled baking sheet or a 9-inch square baking pan and chill, uncovered, until very firm, about 1 hour.
Preheat oven to 425°F.
Cut out squares, or other shapes from gnocchi mixture and arrange, slightly overlapping, in a well-buttered 13- by 9-inch baking dish. Brush gnocchi with remaining 1/4 cup melted butter and sprinkle with remaining 3/4 cup Parmigiano-Reggiano.
Bake in middle of oven until gnocchi are beginning to brown, 15 to 20 minutes. Let stand 5 minutes before serving.
Serve with hot pasta or Marinara sauce (optional).