Peel the asparagus. You start about 2 centimeters below the tip and peel around the top, shiny skin. Cut off 1 thick centimeter from the bottom of the asparagus.
Place them in a steaming tray or baking dish and place the 4 eggs next to them.
Place a piece of aluminum foil between the asparagus and the eggs so they do not touch each other. Or place them in a separate baking dish.
Steam for 7 to 8 minutes. Meanwhile, finely chop the parsley and let the butter melt and simmer over medium heat until the butter foams nicely and has a hazelnut color.
Place the eggs in cold water for about a minute and peel them.
Put them in a deep plate and mash them.
Add the parsley and butter and mix together.
Season well with nutmeg, pepper from the mill, and salt and serve over the asparagus.