Remove the seeds from the melon, cut into slices, peel and cut into 20 cubes. Cut ham slices lengthwise in half. Wash basil, shake dry and pluck the leaves from the stalks.
Wrap 1 melon cube with 1 strip of ham around each. Stick each with 1 mozzarella ball and 1 basil leaf on skewers. Drizzle with oil and sprinkle with pepper.