Coarsely chop the walnuts and almonds. For the vinaigrette, mix vinegar, salt, pepper and sugar. Embezzle olive oil. Drain mozzarella well and press lightly between kitchen paper. Pluck the mozzarella. Wash the herbs, shake dry, put 8 basil leaves aside for garnishing. Cut remaining herbs into fine strips.
Cut melon into 4 slices. Cut off the skin with a knife. Put one slice of melon on each plate and spread mozzarella on top. Drizzle the vinaigrette evenly over the melon. Serve sprinkled with herbs, nuts and almonds. Garnish with the remaining basil.