Preheat your oven to 450°F (232°C). Cut the red bell peppers in half, remove the seeds, and place them cut-side down on a baking sheet lined with parchment paper. Roast for approximately 20 minutes, or until the skins are charred and blistered. Once roasted, transfer the peppers to a bowl and cover it with plastic wrap to steam. After they've cooled for a few minutes, peel off the charred skins and set the roasted peppers aside.
In a large skillet, heat the olive oil over medium heat. Add the finely chopped onion and sauté for about 5 minutes, or until the onion becomes translucent and soft.
Stir in the minced garlic and continue to cook for an additional minute, just until the garlic becomes fragrant and golden.
Add the peeled roasted red peppers to the skillet. Then, mix in the dried oregano, smoked paprika, and a pinch of salt and pepper. Cook the mixture for about 3-4 minutes, allowing the flavors to blend beautifully.
Transfer the pepper mixture to a blender and blend until smooth and creamy. Return this puree back to the skillet, then pour in the heavy cream, stirring until the sauce is fully combined. Taste and adjust the seasoning if necessary.
While you prepare the sauce, bring a large pot of salted water to boil. Add the gnocchi and cook according to package instructions until they float to the surface, typically about 2-3 minutes.
Drain the gnocchi and gently fold them into the creamy red pepper sauce, allowing them to soak in the flavors for about a minute.
Plate the gnocchi immediately, garnishing with fresh basil leaves and sprinkling grated Parmesan cheese on top if desired.
Notes
Serve the gnocchi in shallow bowls, drizzling with a bit of extra cream sauce and adding a sprig of basil on top for a pop of color.