In a medium bowl, crack the eggs and add the milk, salt, and pepper. Whisk well until the mixture is fully combined and frothy.
Heat the olive oil in a non-stick skillet over medium heat.
Pour the egg mixture into the skillet. Let it cook undisturbed for about 2 minutes, then begin to gently stir with a spatula, allowing the eggs to cook evenly.
When the eggs are about halfway cooked, add the diced tomato and shredded cheese. Continue to stir until the eggs are fully cooked and the cheese has melted (about 2-3 more minutes).
Remove the skillet from heat.
Place a tortilla on a plate. Spoon half of the egg mixture onto the center of the tortilla. Fold the sides over, then roll from the bottom up to create a wrap. Repeat with the second tortilla and remaining filling.
Cut each wrap in half diagonally to serve.
Notes
Serve with fresh basil and salsa for added flavor.