Chris M. writes: “This is a great tool for removing all types of nails and fasteners. It works great on headless pneumatic nails.”
It looks pretty interesting. There are lots of pictures on the site (linked below), but essentially it works by you clamping the nail in the plier-like jaws, then rotating the handles downward, rolling them along their curved bottom side to create leverage and pull the nail.
The manufacturer claims that they’re good for all kinds of nails, specificially headless finishing nails, which they claim it easily pulls through from the back side leaving less mess.
They’re available from the manufacturer (and elsewhere) for around $25.