Mix the eggs in a bowl, season with salt and pepper, and set aside.
Chop the vegetables in very small pieces then add to the egg and mix thoroughly.
In low heat, warm up your pan. The pan should feel hot when you put your hand close to it.
Put oil in the pan, and using a brush or paper towel, wipe the oil on all the edges.
Put a thin layer of the egg mixture in the pan and let the bottom set.
Optional: Add string cheese in the middle before rolling.
Unstick the edges of the cooked egg, then lift one side, and start rolling it. Roll until there is a small remaining flap of the egg.
Pull the egg back to the other edge of the pan, then put oil in the free space.
Add another thin layer of egg, making sure the new layer sticks to the small flap of the rolled omelette.
Once the new layer has set, start rolling again. Continue until desired thickness is achieved.
Once done, let it sit in the pan to cook a little more.
Transfer to a plate, slice to desired thickness, and enjoy in different ways!