Add the banana, oats, eggs, vanilla, and salt into a small blender container.
Mix the ingredients until well combined, fluffy, and the oats are pulverized.
Heat the oil over medium-low heat in a non-stick pan. Pour in the egg-banana-oat mixture.
Cover the pan with a lid and cook the omelette until almost completely set, about 2-3 minutes.
Check with a spatula if the omelette is nicely browned at the bottom - then it is ready to flip.
Flip the omelette on the other side using two wide spatulas or you can flip it using a plate: place a plate on top of the omelette then flip the pan upside down, the omelette should stay on the plate.
If your omelette is completely set you can leave it on the plate but if it's not quite set yet slide it off the plate to the pan to finish it.
Transfer the omelette to a plate, fold it in half immediately and fill it with fruit. Pour over maple syrup.