Drain mozzarella balls in a colander; slice in half, across the width, with a sharp knife.
Slice all tomatoes in half across the equator.
Pair one tomato half with one cheese half and stick toothpick through the middle, cheese side first.
Follow with a folded basil leaf.
Repeat with another tomato and cheese ball, cheese side first.
Lay them down on a round plate with the top end of the toothpick on the outer edge of the plate, so when you drizzle you don't get it over the part guests will hold.
Sprinkle with salt and pepper.
Drizzle all over with balsamic glaze and olive oil, avoiding the top end of the toothpick.
Lay sticks on serving plate covered with shredded lettuce.