Place a grill pan over medium-high heat or preheat a gas or charcoal grill. Season the steaks with salt and pepper.
Sprinkle both sides of each steak with the herbs de Provence.
Drizzle with 2 tablespoons of the olive oil. Grill for about 6 to 8 minutes per side for medium-rare.
Remove the steaks from the heat and allow to rest.
Meanwhile, in a medium skillet, heat the remaining olive oil over medium-high heat. Crack the eggs directly into the pan, seasoning quickly with salt and pepper. Cook until egg whites are set, about 2 to 3 minutes.
Place the steaks on 4 serving plates. Carefully place the eggs on top of each steak.