Food & Cooking Recipes Appetizers Prosciutto with Melon 3.3 (43) Close Yield: 12 appetizers You can find prosciutto -- air-dried Italian ham -- sliced to order at the deli counter, at gourmet shops or Italian markets, or prepackaged in many supermarkets. It is usually sold very thinly sliced. Directions Seed 1/2 medium honeydew melon; slice into 12 half-inch thick pieces, and remove rind from each. Halve 6 slices prosciutto (about 3 ounces total) lengthwise. Wrap 1 slice around each melon piece.