Trim fat from steaks. Rub both sides of steaks with pepper and salt.
In a large skillet heat 1 Tbsp of the olive oil over medium heat. Add the steaks and cook to desired doneness, turning once. (Allow 8 to 11 minutes for medium rare or 12 to 14 minutes for medium).
Meanwhile, for relish, in a small mixing bowl combine the remaining olive oil, Italian parsley, cornichons or sweet pickles, capers, green onion, and balsamic vinegar. Set aside.
To serve, transfer steaks to a cutting board. Cut into thin slices. Arrange the arugula and/or mixed greens on dinner plates. Top with the steak slices, then spoon the relish over steak and arugula.Servings: 4