In a large soup pot, heat the olive oil over medium heat. Add the shallots, carrot, celery, and garlic. Cook, covered, until soft and fragrant, about 8 minutes, stirring often to make sure it doesn’t burn.
Add the dried tomatoes, stir for one minute. Add the chopped heirloom tomatoes, vegetable broth, and bouquet garni. Season to taste with sea salt and pepper. Bring to a boil, lower the heat to medium, and simmer, uncovered, for about 15-20 minutes.
Discard the bouquet garni. Add the fresh basil leaves and maple syrup. Let cool. Transfer to a blender and blend until smooth. Transfer the soup back to the pot. Taste and adjust seasonings, if necessary. Serve with some croutons, some sun-ripened tomatoes, more fresh basil, and a drizzle of olive oil. Bon appétit!