1. In a large bowl, whisk the eggs into an omelette. Add the milk. When they are well foamy, season with salt and pepper.2. In a non-stick pan, melt the butter. Pour in the beaten eggs and cook the omelette over medium heat, bringing the eggs from the sides to the center so that the mixture cooks evenly. Flip or fold the omelette.3. Place the omelette on the plate and sprinkle with red pesto.4. Decorate with basil leaves and serve immediately.