For the tortellini and tomato-arugula dressing: Cook the tortellini to al dente according to the package directions. Drain and let cool.
In a food processor, add the arugula, Parmesan, sun-dried tomatoes, basil, walnuts, lemon juice and garlic and pulse until just combined. Slowly stream in the olive oil until the dressing has a nice rustic consistency, about 10 seconds. Season with salt and pepper.
For the salad: In a large bowl, mix the tortellini with the dressing until the pasta is completely coated. Add in the olives and bell peppers and mix. Season with salt and pepper and garnish with basil and Parmesan.