Preheat oven to 350°F.
Mix meat with salt, pepper, allspice, and a little tomato paste, until well-combined. Form meat into 12 patties, about ½ inch thick.
Dilute remaining tomato paste with 1 to 1-1/2 cups water, season with additional salt, pepper, and allspice, if desired. Pour a little sauce onto the bottom of the baking pan and spread to cover.
Arrange all of the above vegetables, and meat patties alternately, in a standing position in a large roasting pan (approx. 9“x 13“), until all of the ingredients are used.
Pour the remaining sauce over the meat and vegetables.
Bake, uncovered for about 1 to 1-1/2 hours, or until vegetables are tender and top is lightly browned.