Preheat outdoor grill to 350°F. If using a grill basket, spray basket with nonstick cooking spray. Place cut artichokes halves, cut side up in grill basket.
Drizzle artichoke halves with olive oil and season with salt and pepper or any other dry seasoning that you wish.
Place basket directly on hot grill and let the artichokes begin to char (about 4 minutes). Turn artichoke halves with tongs (cut side of artichoke down).
Let artichokes char on grill for about 4-minutes or until you receive the charring marks on the artichoke that you desire. Add an easy and low calorie flavor to your grilled artichokes by cutting a lemon in half and grilling the lemon halves in the grill basket along with the artichokes.
Remove hot smokey grilled artichokes to serving platter and serve with your favorite dipping sauce or a squeeze of the fresh grilled lemon!