Crack the eggs into a mixing bowl with a pinch of sea salt and black pepper. Beat well with a fork.
Pick and roughly tear the basil leaves. Chop the tomatoes in half, then add to a hot frying pan with a small knob of butter, a drizzle of oil and a pinch of salt and pepper. Fry and toss around for 1 minute, then turn the heat down to medium and sprinkle over the basil leaves.
Add the eggs and move the pan around to spread them out evenly.
Using a spatula, ease around the edges of the omelette, then fold it over in half. When it starts to turn golden brown underneath, remove the pan from the heat and slide the omelette on to a plate.
