Place all the dried fruits in a saucepan with water to cover. Simmer for about 20 minutes, or until tender. Let cool in the liquid.
Pit anything that has pits. Peel and cut the oranges and grapefruit into bite-sized chunks. Cut the cooled dried fruits into small pieces. Use the syrup from only one of the canned fruits (fig is nice) and drain the other canned fruits.