Cut off tops of red peppers. Broil or grill red peppers, rotating occasionally, until outside is charred. Remove from heat and allow to cool.
Peel skin off of peppers and slice into two-inch strips.
Sprinkle salt on top of peppers. Top with a slice of fresh mozzarella cheese and drizzle with olive oil. Garnish with pepper and fresh basil.
Grill or broil peppers until cheese is melted.