Let the steaks sit at room temperature, to take the chill off, while you heat a grill pan to high. When the pan is very hot, drizzle the steaks with EVOO and season with salt and pepper, to taste. Cook the steaks for 3-4 minutes on each side for pink centers, or a couple minutes longer for medium-well doneness. Remove the steaks to a cutting board and let rest for about 5 minutes before slicing.
Meanwhile, in a salad bowl, combine the garlic, ketchup, mustard, Worcestershire sauce and vinegar. Whisk in 1/3-1/2 cup EVOO and season with salt and pepper, to taste. Add the greens and toss. Slice the steaks, arrange on serving plates and top with the salad.