Scoop out seeds from each melon half. Cut each half into 6 wedges. Remove melon skins. Wrap 1 or 2 slices of prosciutto around each wedge. Secure prosciutto with 4 toothpicks. Cut each wedge into 4 bite-sized pieces. Cover and refrigerate.
Serve chilled.
(Can be made 2 to 3 hours ahead of time and chilled. Make sure melon wedges are well wrapped so that they do not dry out.)
Recipe courtesy of Hors d'Oeuvres by Vicki Liely, Periplus Editions/Tuttle Publishing