Trim the stem end of the persimmons, then slice each into 8 wedges. Season with salt and pepper.
Lay out a piece of prosciutto. Top with a persimmon wedge, basil leaf and piece of provolone; roll up. Repeat with the remaining ingredients. Arrange on a platter; drizzle with olive oil and vinegar and season with pepper.
Photograph by Ryan Liebe
Recipe courtesy of Food Network Magazine