Mix together the olive oil, salt, and pepper in a small bowl. Lay down two pieces of bread and top with 2 slices of mozzarella cheese on each piece of bread, followed by two slices each tomatoes, then enough basil to cover. Top with remaining bread, and brush the tops evenly with half of the olive oil mixture.

Place a skillet large enough to hold both sandwiches over low heat, add the sandwiches brushed side down, and cook until golden brown on the bottom, Brush the tops with remaining olive oil mixture, turn carefully, and continue to cook over low heat until cheese begins to melt and bread is golden on both sides.