01 - Preheat oven to 425°F (220°C). Line a baking sheet with parchment paper. Halve the red bell peppers, remove seeds and stems, and place them cut-side down on the prepared baking sheet.
02 - Roast the peppers for 20–25 minutes, or until the skins are visibly blistered and slightly charred. Transfer the roasted peppers to a bowl, cover tightly, and allow them to steam for 10 minutes. Once cooled enough to handle, peel off the skins and roughly chop the pepper flesh.
03 - In a large pot, heat the olive oil over medium heat. Add the chopped yellow onion and diced carrot, sautéing until softened, approximately 5–7 minutes. Add the minced garlic and cook for an additional minute until fragrant.
04 - Incorporate the chopped roasted red peppers, smoked paprika, cayenne pepper (if using), salt, and black pepper into the pot. Stir to ensure even distribution. Pour in the vegetable broth, bring the mixture to a boil, then reduce the heat and simmer for 10 minutes.
05 - Remove the pot from the heat. Carefully use an immersion blender to purée the soup until it achieves a smooth, velvety consistency. Alternatively, transfer the soup in batches to a standard blender and purée until smooth.
06 - Stir in the heavy cream. Taste the soup and adjust salt and pepper as necessary to perfect the flavor profile. Reheat gently if desired.
07 - Ladle the soup into bowls. Garnish with fresh basil, crumbled feta, or toasted pumpkin seeds, if desired.