Cut the red bell peppers in half and remove the seeds. Place them cut-side down on a baking sheet lined with parchment paper. Roast in the oven for about 25 minutes, until the skin is blistered and blackened. Remove from the oven and place the peppers in a bowl, covering it with plastic wrap to steam for 10 minutes.
While the peppers cool, bring a large pot of salted water to boil. Add the gnocchi and cook according to package instructions, typically around 2-3 minutes or until they float. Drain and set aside.
In a large skillet, heat olive oil over medium heat. Add the diced onion and sauté for 4-5 minutes until translucent. Stir in the minced garlic and cook for another minute until fragrant.
Peel the roasted peppers and add them to the skillet along with the heavy cream, Parmesan cheese, dried basil, smoked paprika, salt, and pepper. Use an immersion blender (or a regular blender) to puree the mixture until smooth and creamy.
Bring the sauce to a simmer, then add the cooked gnocchi to the skillet. Toss gently to coat the gnocchi thoroughly in the creamy sauce. Cook for an additional 2-3 minutes to warm through.
Taste and adjust seasoning if needed.
Notes
Serve in shallow bowls, garnished with fresh basil and extra Parmesan.