Cook dried pasta in salted boiling water according to package directions or cook fresh pasta for 1-2 minutes Meanwhile, heat oil in a large saucepan over medium heat. Add onions and garlic cloves and saute 3-4 minutes or until onions are translucent.
Add in peppers, tomatoes, and heavy cream. Bring to a simmer and cook for 10 minutes.
Carefully pour the cream/pepper mixture into a blender or food processor and blend until smooth.
Pour the sauce back in the pan and add cheese and salt and pepper to taste. Simmer an additional 5 minutes
Ladle in pasta and toss to coat. Top with torn burrata and basil leaves and serve.
