Heat a skillet over medium-high heat, and spritz it lightly with nonstick spray.
Use a sharp knife to remove the visible fat from the beef.
Rub both sides of the beef with black pepper.
Sear the beef in the hot pan for 5 minutes on one side. Flip the beef over, and cook for 4 to 5 minutes on the other side. The beef is done when a thermometer registers an internal temperature of about 145 °F.
When the meat is done cooking, transfer to a plate.
Add the apple juice to the skillet. Use a spatula to scrape up all the browned bits at the bottom of the pan.
Whisk in the evaporated milk. Turn the heat up and bring the mixture to a boil.
Turn the heat down and let the milk/apple juice sauce simmer for about 2 to 3 minutes. Pour the sauce over the meat.