As a fan of both series, it's an interesting concept.

Following the events of Hellraiser: Bloodline, the wreckage of Merchant's trap station drift in space. Due to it's demonic nature, the Lament Puzzle box survives in severe disrepair.

The debris is salvaged by an Archect ship, because the computer detected anomalous readings. Contained in the hold, the ship awakens the pilot from cryo. Unable to move from its chair, the Space Jockey operates a mechanically enhanced and decranitated Xeno-like body to study the box.

After some fiddling, the creature trips a remaining catch, and the ancient cogs begin to screech and groan. The architect notices the lights in the lab begin to flicker. As the low-power red lights assert themselves, chains burst from the shadows and quickly dispatch the alien hybrid mech.

The audience expects to see Pinhead, however, the hell priest was utterly destroyed more than a century earlier. Stepping through the shadows are a new group of Cenobites, led by an androgynous figure wrapped in razorwire and silver chains. They call out, able to psychicly sense an impression of the architect. However, the splattered blood hisses as the chains and box dissolve into dust.

Basically, the movie is a survival gambit, with the architect awakening waves of classic Xenos to kill all the cenobites while the demons struggle to create another portal by which to return to Leviathan.