Melt the butter on a plate or platter, and spread over it one-half of the cheese. Break 3 eggs on the platter, taking care not to break the yolks. Sprinkle with a little fine salt and pepper, and the rest of the cheese, and some chopped parsley, all mixed together.
Set the platter in the oven and bake until set. Cut out each egg with a cutter, and serve on rounds of toast.