Celebrate and savor watermelon season by grilling thick, sweet slices! Whether you fire-up your grill or use a grill-pan, grilled watermelon is healthy and delicious. Simply cut your watermelon into thick slices leaving the rind on. Grilling watermelon changes the texture of the fruit, brings out its natural sweetness and adds a subtle smoky flavor. I grilled lime halves alongside the watermelon. With a pinch of sea salt, fresh mint leaves and a squeeze of the smoky lime juice, you have an easy, healthy dessert.