Pulse sandwich cookies in a food processor until they reach a fine, sand-like consistency. Add in cream cheese, pumpkin puree, pumpkin pie spice, and salt. Continue pulsing, scraping down the sides when needed, until a smooth, loose dough is formed.

Using a spoon or cookie scoop, measure out about 20 even portions of the dough (about 1 tablespoon a piece) onto a parchment-lined baking sheet. Move to the freezer for 10 to 12 minutes. When the dough is firm enough, roll each portion into a ball shape. Move back to the freezer to harden slightly for 8 to 10 more minutes.

In a large, microwave-safe bowl, melt white chocolate chips in the microwave in 30-second intervals, stirring in between, until the chocolate is fully melted and smooth. Drop each pumpkin spice ball into the chocolate. Using two forks, fully coat the dough in chocolate, let it drain, then place it back on the parchment-lined baking sheet.