Spray medium nonstick skillet with cooking spray; heat over medium heat. Add hash browns and onion; cook 9 minutes, or until potatoes are golden brown, stirring frequently.
Add Egg Beaters and pepper; mix well. Cook 3 minutes, or until Egg Beaters are slightly set; stir. Cook an additional 6 minutes, or until Egg Beaters reach desired doneness, stirring occasionally.
Combine tomato and basil; set aside. Spoon Egg Beaters mixture evenly down centers of tortillas; top evenly with cheese and the tomato mixture. Fold in opposite sides of each tortilla; roll up burrito-style.