Preheat your oven to 450°F (230°C). Place whole red bell peppers on a baking sheet and roast for 20-25 minutes, turning occasionally, until skins are blistered and blackened.
Remove from oven and transfer peppers to a bowl. Cover tightly with plastic wrap or a lid and let steam for 10 minutes to loosen skins.
Once cooled, peel off skins, remove stems and seeds. Set aside.
Bring a large pot of salted water to a boil. Cook rigatoni according to package instructions until al dente.
Reserve ½ cup pasta water, then drain pasta and set aside.
In a blender or food processor, combine peeled roasted peppers, heavy cream, grated Parmesan, and minced garlic. Blend until smooth and creamy.
Season sauce with salt and pepper to taste.
Heat olive oil in a large skillet over medium heat. Optionally add extra minced garlic and sauté 1-2 minutes until fragrant.
Pour in roasted red pepper sauce and warm gently, stirring frequently.
If sauce is too thick, add reserved pasta water a tablespoon at a time until desired consistency is reached.
Add cooked rigatoni to skillet and toss gently to coat evenly.
Allow pasta to heat through for 1-2 minutes.
Divide pasta among plates or bowls. Garnish with fresh basil leaves and extra Parmesan if desired. Serve immediately.