Preheat the oven to 220° C (430° F).
Place the tomatoes, red peppers, onion, garlic, and thyme on a baking tray, and drizzle 2 tablespoons of olive oil on top.
Roast the vegetables in the preheated oven for 20 to 25 minutes or until the skin of the peppers is charred.
Remove the tray from the oven and set it aside for 10 minutes until the vegetables have cooled enough.
When the veggies are cooled down enough for you to handle them, peel the tomatoes and garlic, and peel and deseed the peppers.
Place them in a heavy-based pan along with the onions, salt, freshly ground black pepper, paprika, bay leaves, and vegetable stock or water.
Give them a good stir and gently simmer for 20 to 25 minutes on low to medium heat with a lid on.
Remove the bay leaves, transfer the soup to a food processor or with a hand-held blender, and blitz until smooth. Add extra stock if too thick or boil the soup further if too thin.
Garnish with grated parmesan, sour cream, or a drizzle of olive oil.