- Place a large non-stick frying pan over medium heat. Slice the pepper into thin strips. Slice the onion half into half rounds about 1/4 inch thick.
- Coat the bottom of the pan with olive oil. Put the onions into the pan and saute for 1-2 minutes until beginning to soften. Add the mushrooms and stir them around the pan to coat them with the olive oil. Let them cook for 2 minutes then stir them around the pan. Add the peppers, mixing thoroughly. Cook for 1-2 minutes, stirring occasionally.
- Turn off the heat and add the steak and Worcestershire sauce, then stir to heat through. Taste and season with salt and pepper. Remove ingredients from the pan.
- Add two wraps to the pan so they reach to the edge and slightly overlap in the center. Add 1/4 of the cheesesteak mixture to each wrap and top each with a slice of cheese. Cover with a lid or foil for 1 minute or until cheese is melted. Fold them over and serve. Repeat the process with the other two wraps and remaining ingredients