Preheat an outdoor grill for high heat. If using wooden skewers, soak in water.
In a large bowl, mix together the ground beef, onion, parsley, cayenne, allspice, salt and pepper until evenly blended. Divide into 6 portions, and press around one end of the skewers to form a log shape approximately 1 inch thick and 6 inches long.
Grill for 10 to 15 minutes, turning occasionally, until meat is no longer pink.