Heat oil in large heavy nonstick skillet over medium heat until hot. Place steaks in skillet; cook Flat Iron Steaks 13 to 15 minutes for medium rare to medium doneness, turning occasionally. Season with salt and pepper, as desired. Remove to platter; keep warm.
Add green onions to skillet; cook and stir 1 to 2 minutes or until golden. Stir in preserves, chutney and curry powder. Add water; cook and stir until sauce is hot. Stir in lime juice; remove from heat.