A rotary die system that includes first and second axially aligned, coacting rotary dies positioned adjacent one another. Each die includes a working surface having a plurality of recesses defined therein. The recesses in the first die are each configured to align with a recess in the second die to form a product cavity upon coaction of the first and second dies. The product cavity is configured to receive a product. Each recess in at least one of the first or second dies includes a pin therein that is configured to puncture a film that at least partially surrounds the product.