In a microwave, warm apple juice. Stir in dates; let stand 5 minutes to soften, stirring occasionally. Remove dates from apple juice; discard liquid. Transfer dates to the bowl of a food processor fitted with the blade attachment; process until smooth. Add pecans and spices; pulse just until combined (mixture will be thick). , Shape mixture into 1-in. balls; place on a waxed paper-lined baking sheet. Refrigerate, covered, 30-60 minutes., Roll date balls in almonds.