Heat the oil in a large non-reactive pot over medium heat. Add the shallots, garlic, and fennel seeds and sauté until slightly softened, about 2 minutes. Stir in the tomatoes with their juices and continue cooking until the tomatoes are soft and stewed down, 5 minutes.
Stir in the parsley, mint, green beans, wine, water, and salt and pepper and bring to a boil. Then reduce the heat, partially cover the pot, and simmer until the beans are very tender and the liquid is reduced by half and sauce-like, 45 minutes. Serve right away. Serves 6.