Bring a large pot of salted water to a boil. Add the tortellini and cook as the label directs; drain and rinse under cold water. Transfer to a large bowl.
Add the salami, carrots, peas and roasted red peppers to the bowl with the tortellini.
Make the dressing: Whisk the olive oil, white wine vinegar, shallot, 1/2 teaspoon salt and pepper to taste in a bowl. Pour over the pasta salad and toss to coat. Season with salt and pepper. Chill for up to 3 hours.