Generously season the steak with salt and pepper on both sides. Heat a medium pan or cast-iron skillet until hot. Then, over medium-high heat, cook the steak until it reaches desired doneness (about 6 minutes on each side for medium-rare). Set the steak aside on a dish to rest.
Reduce the heat under the pan to medium and add the egg (or eggs). Season with a little salt and pepper, and cook for about 3 minutes or until edges of the whites curl and begin to brown. Remove from the pan and place on top of the steak to serve.