Prep Time: 15 Minutes
Cook Time: 20 Minutes
Total Time: 35 Minutes
For the chimichurri:
Combine all the ingredients in a medium bowl and stir to fully incorporate. Set aside.
For the steak and eggs:
1. Season the steak with salt and pepper.
2. In a large cast-iron skillet, melt the butter over medium-high heat. Place the steak on one side of the skillet, leaving room for the eggs. Cook until the steak has a dark brown sear, 3 to 4 minutes per side for medium-rare. If the pan gets dry, add another tablespoon of butter.
3. Reduce the heat to medium-low and add the eggs. Season with a pinch of salt and pepper. When the whites start to set, cover the skillet with a lid and cook for 2 to 3 minutes more.
4. Serve with the Chimichurri Sauce.