Step 1Place the turkey slices between 2 sheets of wax paper or plastic wrap and pound until uniformly thin, about one-fourth inch. Place in a large shallow dish. In a bowl, whisk together the garlic, jalapeno, oregano, cumin and olive oil. Add salt and pepper to taste. Pour over the turkey and let stand at room temperature for 1 hour.
Step 2Heat a grill until very hot. Carefully place the marinated turkey paillards on the grill and cook just until cooked through, 1 to 2 minutes per side; do not overcook. Transfer to serving plates and sprinkle with cilantro. Serve with lime wedges for juicing, if desired.