For the vinaigrette, mix vinegar, salt, pepper, mustard and honey. Fold in 1 tablespoon of oil. Peel and halve the shallots, cut into thin strips and stir into the vinaigrette.
Clean, wash, spin-dry and possibly chop the arugula smaller. Wash and halve the tomatoes. Mix both with the vinaigrette. Slice the parmesan into thin shavings with a peeler.
Pat the steaks dry. Heat 1 teaspoon of oil in two large pans. Fry the steaks in them over a high heat for 1-2 minutes on each side. Season with sea salt and coarse pepper. Arrange on the salad.
Sprinkle with Parmesan cheese and serve immediately. Serve with ciabatta.