Cook the Tortelloni according to the instructions on the pack and drain, reserving a large ladleful of the pasta cooking water. Whisk the pesto with about half of the reserved water in a large bowl.
Add the Tortelloni and peppers then gently toss, adding more pasta water if you need.
Season with salt and pepper to taste. Divide the tortellini among plates, dot with the goat's cheese and garnish with parsley.