Lightly spray or wipe a large baking dish with vegetable oil. Pour the syrup into the dish. Slice the French bread into eight 2-inch thick slices and place them over the syrup. In a seperate bowl, combine the eggs, egg whites, milk, vanilla and 1/4 tsp. nutmeg, and beat until well mixed. Pour the egg mixture over the bread, pressing the bread down gently so it soaks up the batter. Cover and refrigerate overnight.