Brush each steak on both sides with a thin coating of olive oil. Season each steak, on both sides, with salt and pepper.
Heat an indoor grill pan or outdoor grill to medium-high. Cook the steaks on both sides to your desired doneness. Remove the steak to a plate, cover, and keep warm.
Cook the asparagus in the grill pan with approximately 2 teaspoons of olive oil until just tender. Season with salt and pepper. Remove. Plate, and keep warm.
Fry the eggs in olive oil in a skillet over medium heat to your desired doneness. Season with salt and pepper.
To serve, add the prepared steak on top of the prepared asparagus and top the steak with the egg. Serve immediately.