Place the apricots in a heatproof bowl and cover with boiling water. Let stand for 10 minutes, then drain well and place in a food processor. Add the walnuts, sugar, and vanilla and pulse to chop, and then process to blend thoroughly. Use your hands to shape the mixture into 1-inch balls. Place the coconut in a shallow bowl. Roll the balls in the coconut, arrange on a platter, and serve.
Variations: Mix and match dried fruit and nut combinations. Some ideas include dried mango with cashews, dried pear with pecans, or mixed dried fruit with mixed nuts.