Bring a pot of salted water to a boil. Carefully add the tortellini to the water and cook for about 3-5 minutes, or until they float to the top of the water. Drain, rinse with cold water, and set aside.
Heat a pan over medium heat. Add pancetta and cook 10 minutes, stirring frequently, until pancetta is crispy. Remove from pan and drain.
In a large mixing bowl, add the shaved Brussels sprouts, onion, walnuts, pomegranate, and pancetta. Stir to combine.
Stir in the tortellini and season with salt and pepper.
Pour in the dressing and stir to coat the salad.
Plate the pasta salad and serve with shaved Parmesan on top.