Heat Olive Oil In A Skillet Over Medium Heat. Add Mushrooms And Peppers; Saute Until Soft. Sprinkle With Basil And Remove From Pan. Pour Eggs Into Pan And Return To Heat. Cook Eggs Until Semi-Solid, Then Flip. Place Mushroom Mixture And Cheese On Top Of Omelet. Season With Pepper And Fold In Half. Cook Until Firm. Serve Warm.