In the bowl of a food processor, pulse almonds, plums, apricots and figs 20-25 times or until the fruit and nuts are chopped into small pieces, but before the mixture forms a ball.
In a medium bowl, combine the powdered sugar, anise, fennel, caraway, cardamom and salt. Add fruit and nut mixture and the honey and mix with gloved hands until well combined.
Scoop the mixture into 1/4-ounce portions and roll into balls. If serving immediately, roll in coarse sugare and serve. If making ahead, put the balls on a cooling rack and leave uncovered until ready to serve. Roll in coarse sugar prior to serving.
Sugarplums may be stored on the cooling rack for up to one week. After a week, store in an airtight container for up to one month.