Gather your ingredients.
Chop the basil.
Thinly slice the cherry tomatoes.
Mince the scallion.
Whisk the three eggs in a small bowl.
Add salt and pepper.
Add butter and olive oil to a frying pan on high heat.
Fry the scallions and cherry tomatoes together for one minute.
Add the eggs to the scallions and cherry tomatoes. You can move the tomatoes around to ensure that they are evenly distributed.
When the bottom of the omelette is golden brown and the top has only a little liquid left add the basil. If you don't like your eggs runny you'll want to wait a little longer than I did.
Slide the omelette on to a plate and serve! Note: I like my eggs a little runny, you might want to cook yours a bit longer.