Generally speaking, Minestrone is hearty vegetable soup. So, depending on a season, you can throw in any vegetable that is fresh and available in your grocery markets. In fall and winter - Minestrone is delicious with green beans, butternut squash, kale or spinach. In spring - aim for asparagus and white beans. Summer is all about using zucchini and fresh tomatoes, so keep this in mind when preparing your vegan Minestrone.