Heat an oven-safe skillet (like cast iron) over medium-high heat. Cover the steak with salt and pepper. Add the oil to the skillet and once hot, add the steak. Sear it on both sides until golden – about 1 minute per side. Turn o the heat.
Place the skillet in the middle of the oven with the broiler on. Broil for 2 to 3 minutes, or until the steak reaches your desired temperature. Let the steak rest for 15 to 20 minutes before thinly slicing it.
Make Vinaigrette: In a small bowl, whisk together the ingredients for the vinaigrette. Set aside.