Place a large skillet over medium-high heat with 2 turns of the pan of EVOO, about 2 tablespoons. Season the steaks with salt and pepper and sear in the pan (working in batches if need be) until the steaks have a nice crust on the outside, about 3 minutes per side.
Remove the cooked steaks from the skillet and reserve warm on a plate. Return the skillet to medium-high heat and add 1 turn of the pan of EVOO, about 1 tablespoon. Add the mushrooms to the pan and cook until they start to turn golden brown, 4-5 minutes.