In a small bowl combine the diced chilis in adobo and the mayo. Whisk together until combined.
Smear on 1 side of each of the ciabatta buns.
Layer the chicken, tomato, basil, red onion, mozzarella, and the other bun.
Place the sandwiches 2 at a time on the panini press and press for about 5-6 minutes.
Slice and serve!