Preheat your oven to 450°F (230°C). Halve the red bell peppers and remove the seeds and stems. Arrange the peppers cut side down on a baking sheet lined with parchment paper for easy cleanup. Roast in the preheated oven for approximately 20-25 minutes, or until the skins are charred and blistered. Once roasted, remove from the oven and allow to cool. When cool enough to handle, peel the skins off the peppers and set aside.
While the peppers are roasting, fill a large pot with water and add a generous amount of salt. Bring to a boil, then add the pasta. Cook according to the package instructions until al dente. Drain the pasta, reserving about 1 cup of the pasta cooking water for later use. Set the drained pasta aside.
In a blender or food processor, combine the peeled roasted red peppers, heavy cream, minced garlic, olive oil, red pepper flakes, and a pinch of salt and pepper. Blend the mixture until it becomes smooth and creamy, ensuring there are no chunks remaining.
In a large skillet set over medium heat, pour in the blended roasted red pepper sauce. Gently heat the sauce, stirring occasionally. If the sauce appears too thick, gradually add a small amount of the reserved pasta water until you reach your desired consistency. Add the cooked pasta into the skillet and carefully toss to coat the pasta evenly with the sauce.
Once the pasta is well coated, remove the skillet from the heat. Stir in the grated Parmesan cheese, mixing until it melts and integrates into the sauce. Taste and adjust the seasoning with additional salt, black pepper, or red pepper flakes if desired.
Spoon the creamy roasted red pepper pasta onto plates or into bowls. Garnish with fresh basil leaves and sprinkle with extra Parmesan cheese for added flavor, if desired.
Notes
Adjust the red pepper flakes based on your heat preference.