Heat half of the oil in a frying pan over a medium flame. Add the chorizo and shallots and fry for 5 minutes, stirring frequently. Transfer to a plate.

Whisk the eggs, egg white, salt and pepper in a jug.

Place the frying pan back over a medium heat. Add the remaining oil and tilt the pan to spread the oil around.

Pour the eggs into the pan. Cook for 3-4 minutes undisturbed, until the centre of the omelette is quite firm.

Distribute the cooked shallots and chorizo over one-half of the omelette. Top with the cheese.

Cook for 4 minutes undisturbed, or until the omelette is nearly cooked.

Carefully slide a spatula underneath the omelette and fold in half. Turn off the heat and leave the omelette in the pan for 3-4 minutes, to continue cooking. Serve.

Consume immediately.