Wash, clean and halve the tomatoes. ##Wash, shake dry, pluck and chop the leaves from the stalks, except for something to garnish. Whisk eggs and thyme.
Season with salt and ##pepper##. Stir in olives. Heat 1 tablespoon of oil in 2 pans (approx. 24 cm Ø). Divide the egg mixture between the 2 pans. Spread the tomatoes on the omelettes. Leave to set at medium heat for about 10 minutes.
Arrange omelettes on plates and garnish with thyme.