Heat a large skillet over medium heat and add 2 tablespoons of olive oil. Add the pepperoni and chicken and toss until coated and heated through, about 2 minutes.
In a separate bowl, gently whisk together the eggs and add salt and pepper to taste. Add to the meat in the skillet and gently stir together until softened, yet set.
Place about 1/3 cup of the egg and meat mixture into a warmed tortilla. Sprinkle with your desired amount of mozzarella, then a drizzle of Caesar dressing. Top with chopped tomato.