For the Comic Con update on the storyline, scroll down below!
When Wolverine 3 arrives in 2017, it will be the last time when Hugh Jackman enters the skin of the most famous cinematic universe mutant. We don't know too much about this movie, except for the fact that James Mangold is returning in the director chair and that, maybe, Patrick Stewart will make an appearance as Professor X.
What we also know is that the events of Wolverine 3 will follow closely the events of X-Men: Apocalypse.
Keeping these in mind, what storylines could Fox bring on the silver screen in 2017?
Old Man Logan

Before jumping and saying that this Wolverine tale cannot be brought on the screens without the participation of all the major Marvel characters (especially the Hulk), we can say that it wouldn't be the first time when a studio decides to not keep close to the comic book origins.
In this way, keeping in mind that the final film with Logan will happen after the events of X-Men: Apocalypse, isn't it possible for En Sabah Nur to actually defeat the X-Men and then take over the world?
With Logan incapable of stopping him in the first place and incapable of protecting his friends, we can actually see him retreating and going into seclusion "“ the Landlords could be easily the Horseman of Apocalypse and the event that trigger's Wolverine's comeback could actually be anything at this point.
Is it possible? Sure it is, especially since Hugh Jackman hasn't been yet confirmed for next year's mutant extravaganza. Furthermore, the actor is quickly heading towards 50, which is actually pretty old "“ is it Old Man Logan enough?
Furthermore, if Wolverine does appear in X-Men: Apocalypse and he does become a Horseman himself (like the rumors said), he can actually be the one to kill the X-Men. Just like in the comics.
Update: So guess what Hugh Jackman said at the San Diego Comic Con, in regard to the next Wolverine installment: “I’ve got three words for you guys: Old Man Logan.” (via Comic Book Movie)

