Combine the eggs, milk, herbs, salt & pepper in a mixing bowl. Whisk well until light and fluffy.
Heat the oil in a non-stick frying pan over medium heat. When the oil is hot, pour in egg mixture into skillet and let it spread out evenly. Cook until the egg is almost set. Place the cheese slice in the middle (it should almost reach the edges, if doesn't, use two slices of cheese).
Fold the sides of the omelette over to cover the cheese. Cover the pan and cook for another minute or so, until the cheese is melted. You can turn the wrap over and cook for another minute if you like.
Serve immediately.