I've just noticed that along with the blue and purple D8s, and the yellow and black D6s, there's a green D10. I can't find anything on the cards that indicates what you'd roll though. But it looks like the blue D8s do most of the work.
The 'Ranged Shot' card has a result that looks like it's triggered by two skulls. (They look like skulls to me, but I can't tell for sure.) But I don't see any skull symbols on the dice. Maybe there are some other dice that we haven't seen, like the sneakily placed D10?
The dice-triggered effects remind me of DreamBlade in a good way.