Preheat oven to 325 degrees. Line 2 cookie trays with parchment paper or aluminum foil. Spread the pine nuts onto a jelly-roll pan lined with waxed or parchment paper.
Break the almond paste into chunks and place in the bowl of a food processor. Add the sugar and process until the mixture is homogenous, stopping once to scrape down the bowl using a rubber spatula. Add the egg whites and process until smooth. Scrape again and process for a few more seconds.
The mixture will be sticky, but with a light touch and moist hands it can be gently rolled. Keep a damp towel nearby to wipe and wet your hands. Using damp hands, round the mix into scant 1-inch balls and drop the balls onto the tray of pine nuts. Once you have 3 to 4 balls formed, roll them in the nuts to cover completely. Place about 16 balls 1 1/2-inches apart on the prepared baking sheets.
Bake the first tray while preparing the second, until the cookies are pale golden, and puffy, about 25 minutes. Place the baking sheets on wire cooling racks and cool the cookies completely before lifting them off. Store in an airtight container for up to 2 days, or freeze for up to 1 week.