Lay the tomatoes, onion, garlic, peppers, thyme and rosemary out on a generously oiled baking sheet. Drizzle some more oil over the vegetables. Season with salt and pepper.
Roast the vegetables in the oven for 45-50 minutes, or until they look caramelized. Remove the vegetables from the oven when they are done.
Place the roasted vegetables and herbs in a blender with the chicken stock. Blend until fully combined. Add the cream and basil, blending once more.
Serve soup in bowls garnished with a dollop of cream and fresh basil leaves.