In a small bowl, beat eggs with salt and milk until no visible egg whites remain. In a small nonstick skillet, combine beaten eggs with butter. Set over medium heat and cook, stirring with a silicone spatula, until eggs are moist and just beginning to set. Remove from heat and continue to cook, stirring, until eggs have just set into soft curds; return to heat briefly if needed to cook slightly more. Season with pepper and serve right away.
