Combine the dried Italian seasoning, granulated garlic, salt and pepper on a plate. Brush the entire log of mozzarella with about a tablespoon of balsamic glaze, then roll in the dry spices. Place the cheese in the freezer to set up, 20 to 30 minutes.
Oil the grill grates, then place the log of mozzarella on the grill to char quickly, about 2 minutes. Roll a quarter-turn and repeat until all sides are charred but not gooey, 2 minutes per side. Let it cool for a minute, then slice into 1/2-inch slices.
Arrange the sliced tomatoes on a platter. Top the tomatoes with the sliced charred mozzarella, torn fresh basil, a drizzle of balsamic glaze, a sprinkle of sea salt and a drizzle of olive oil.