You are here: Home » Recipes » The Perfect Filet Mignon Steak The Perfect Filet Mignon Steak Recipe by Relish Yield 1 servings Filet mignon is dolled up with a delicious shallot-tarragon compound butter. PrintEmail Ingredients 1 Filet mignon steak, about 4-inches thick1 1/2 tablespoons spice rub of your choice1 stick of butter, softened1 minced shallot3 tablespoons minced fresh tarragon Cooking oil Instructions Season filet and bring to room temperature, at least 30 minutes. Mix butter, shallot and tarragon in a small bowl. Set aside. Heat grill. Oil grill. Pat filet dry and place on grill, just off direct flames, and cook for 2 minutes. Once you flip filet over, spread a little compound butter on top. Continue flipping filet until you have cooked it for 2 minutes on all sides, spreading butter on as you go Let filet rest for 5 to 10 minutes. Slice and serve hot.