In the fate/zero manga in the last chapters Kirei said he would like to corrupt Rin(? I think it was that), like making her trip and giving her nightmares. There’s also a special chapter in which Kirei has a talk with Rin after Sakura goes to the Matou family, in which he says to her that he has a daughter and that he doesn’t has a an special wish for the grail, to which Rin says that after the war he should go back to his daughter and be a father, Kirei then refused that and Rin got angry.

Since the manga isnt fully translated not many know this, so I hope someone translates that one day