Halve the melon, remove seeds, peel and cut the flesh into pieces. Wash basil, shake dry and pluck the leaves from 2 stems. Puree melon, basil and wine. If the soup is a bit too thick, add some water.
Season with salt and pepper and chill for 1-2 hours.
Heat olive oil in a frying pan. Fry the ham for approx. 3 minutes until crispy. Drain on kitchen paper and break into pieces. Remove leaves from the remaining basil. Serve the soup in glasses.
Add the ham, garnish with basil and serve immediately.