Heat a non-stick pan or griddle to medium heat
Sprinkle some shredded mozzarella in the bottom.
Place some very thin slices of cherry tomatoes and a few basil leaves on top of the mozzarella.
Place the sandwich in the pan, butter side down. Cook for 3-4 minutes until golden brown. While cooking, apply butter to the top, outside layer of the sandwhich.
Remove the sandwich from the pan, and again place some very thin slices of cherry tomatoes in the pan with a few basil leaves on top of the mozzarella.
Finish griddling the sandwich - cooking it for an additional 3-4 minutes
Remove from the pan and serve