Turn on your broiler to high. If you do not have a broiler, preheat your oven to 350 F (175 C).
Arugula and sweet pepper salad: add all of the salad ingredients into a small bowl and mix to combine.
Sandwich assembly: split your bagel or bagel bun and add a bit of mayonnaise to the bottom half. Top the mayonnaise with slices of soppressata, and pieces of thinly sliced chicken. Top everything with a slice of provolone cheese and add both the bottom half of the bagel/bagel bun and the top half to the broiler to toast.
Broil for about 4 minutes or until the cheese is melty and the exposed top half of the bagel/bagel bun is lightly toasted.
Remove from the broiler, add a pile of your arugula and sweet pepper salad on top of the cheese, and close the top of the bagel/bagel bun to complete the sandwich.
Serve and enjoy.