Combine eggs, breadcrumbs, tomato juice, parsley, oregano, salt, pepper, and garlic. Stir in ground beef, mixing, well. On foil or waxed paper, pat meat to a 12x10-inch rectangle. Arrange ham slices atop meat, leaving a small margin around edges. Sprinkle shredded cheese over ham. Starting from short end, carefully roll up meat, using foil to lift; seal edges and ends. Place roll, seam side down, in 13x9x2-inch baking pan. Bake in 350° oven for 1 hour 15 minutes or till done. (Center of meat roll will be pink due to ham.) Place cheese wedges over top of roll; return to oven for 5 minutes or till cheese melts.