Minestrone soup can be stored in the refrigerator for a few days. Leftover soup can be stored in the freezer for 3 months. But it's best to finish the soup in 2 to 3 days, and not to store it in the freezer as the macaroni or other pasta will become mushy once thawed. On the other hand, if you know in advance that you want to store the minestrone soup, it's best not to add the pasta/macaroni to it while cooking. You can freeze this soup for up to 3 months. Just add in the pasta/macaroni while reheating.