Preheat grill on high for 10 min.
Meanwhile, slice ciabatta lengthwise into two near-flat rectangles.
Rub inside of each piece with garlic, then brush with 2 tbs balsamic vinaigrette.
Reduce heat to medium; grill bread face down.
Remove bread once grill marks are well-defined and bread is toasted—about 5 minutes.
Layer ingredients as follows: grilled bread (face up), Galbani Fresh Mozzarella, bacon, basil, and tomato. Reduce heat to low and return bread to grill (lid down) until cheese begins to melt—about 7 minutes.
Drizzle with remaining balsamic vinaigrette, sprinkle with pepper, and top with asiago and parsley.
Slice and serve immediately.