Add remaining oil to skillet and pour in egg mixture. Cook for 3 to 4 minutes or until egg mixture starts to set around the edges. Flip over and cook until fully set.
Divide omelette in half. Wrap half of the omelette and half of the cheese in each tortilla.
Notes
Tip: Kick it up by drizzling the omelette with chili garlic paste or Sriracha hot sauce before wrapping in tortilla.