Their conversation was an entertaining one for some dark reasons.
Luke explains to Kilgrave that his connection to Jessica is more than a friendly one.
They were lovers, in fact, a detail that doesnt sit well with Kilgrave.

Credit: Netflix/Marvel
Did you bugger my chances with her?
he asks, sounding more and more like a little boy.
Instead of any kind of self-awareness, Kilgrave and the real-life men like him have to externalize the problem.
For them, its not Whats wrong with me?
Its Whats wrong with them or as it relates to Luke, Why him?
Back at Jessicas apartment, the two can take a minute to actually catch-up after their massive falling out.
Luke tells her that he forgives her for Reva, now that he knows what Kilgrave is capable of.
Its a nice moment of reconciliation for them, but Luke needs to take a rest.
It still hasnt been 12 hours, so Kilgrave could still be controlling him.
But how crazy would that be?
I thought that would have been a bigger surprise.
Anyway, lets never talk about Mrs. Walker again, or Robyn for that matter.
Lets be done with Robyn.
Its there that they meet the worlds snappiest and exposition-delivering-y hotel lady.
(This is another small problem I have with this show.
Not everyone in the world is wry and filled with valuable information.)
Jessica and Luke follow this guy all the way to Central Park.
It turns out that Jessica is completely right about the power enhancing that Kilgrave is trying to do.
Maybe Kilgrave is taking the same approach.Wow, Luke.
Thats quite the leap to make.
Your story seems very specific to you and just kidding thats exactly what Kilgrave is doing.
The camera footage from the other night has been erased.
Oh, and Kilgrave has taken the stage.
He can, however, control someone for a full 24 hours without re-exposure.
The fight between Jessica and the possessed Luke is absolutely brutal.
Shes doing what she can to defend herself without hurting Luke too badly.
The bout ends momentarily as Jessica runs outside and straight into two police officers arriving at the scene.
She begs him to stop, but he only tells her to Do what you got to do.
She fires, and we are left totally stunned.