Mix cornmeal and water in large bowl until blended. Add Parmesan; mix well. Let stand 5 min.
Divide dough into 12 equal pieces; shape each into ball, then flatten to 4-inch patty, moistening hands with a little water if necessary to round the edges.
Heat griddle sprayed with cooking spray to medium-high heat. Add patties; cook 8 to 10 min. on each side or until golden brown on both sides. Place on platter; top with remaining ingredients.