In large skillet or wok, heat oil on high heat. Add beef; stir fry 1 to 2 minutes or until lightly browned. Remove beef; set aside. Add broccoli, onion, shallots, garlic, ginger and lemongrass; stir fry 3 minutes.
Stir in coconut milk, stock, green curry paste, fish sauce and lime juice. Bring to boil. Reduce heat to low; simmer 8 to 10 minutes or until broccoli is tender-crisp. Return beef to skillet. Add basil; stir fry until heated through.