Lay the soaked shark’s fins in a bowl, place root (or base) sections in center. Add green onion, ginger, wine and 2 cups of chicken soup, double-boil for about ½ hour. Remove.
Discard the soup, onion and ginger. Add the ham and pork into this bowl with shark’s fins. Pour in 2 cups chicken soup to steam another 1 hour, until fins are tender.