During the final fight in The Wolverine, Logan-San had his adamantium claws sliced clean off by The Silver Samurai, leaving him with organic bone claws that grow back through the stubs of the adamantium coating.

Can Wolverine grow back his adamantium claws?

In The Wolverine, he regrows bone claws when they are cut off, reverting to his original anatomy. However, because his skeleton is made of adamantium-beta, which has adapted to fuse the metal with his biology he would actually most likely regrow them as adamantium.

Does Logan still have adamantium claws After Days of Future Past?

You may recall that at the end of The Wolverine, Logan's adamantium claws were cut off, and the bone claws grew back through the stubs in the adamantium coating. However, as you can see in the trailer for X-Men: Days of Future Past and on the Empire cover, he has his adamantium claws again.