Place the popped popcorn in a large bowl and set it aside.
In a saucepan over medium heat, combine the soft caramels, pumpkin puree, butter, pumpkin pie spice, and salt.
Stir the mixture constantly until the caramels melt and the ingredients form a smooth sauce.
Pour the warm caramel sauce over the popcorn and stir gently until all the popcorn is evenly coated.
Lightly grease your hands with butter, then scoop portions of the coated popcorn and press them into balls.
Set the formed balls on a parchment-lined surface and let them cool until firm.