Line a mini muffin pan with 12 paper liners.
Melt half of the white chocolate chips and spoon a bit into each liner, using a spoon to coat the sides. Freeze for 10 minutes.
In a bowl, beat pumpkin puree, cream cheese, pumpkin pie spice, cinnamon, vanilla, and powdered sugar until smooth.
Spoon the pumpkin filling into each chilled chocolate cup, smoothing the tops.
Melt the remaining white chocolate and spread over the tops of the filled cups.
Chill until firm, about 30 minutes. Store in the fridge until ready to serve.