Only if they apologize for the doctrine of offensive jihad against infidels outside of the House of Islam and promise to return all lands of the Byzantine Empire to Christian rule. And anyways, I thought the Pope already apologized for the wrongs committed during the Crusades at the millennium.
Like I posted in #19, we cannot make an apology a tradeable commodity. Since we have a grievance, whose size stretches from the Pyrenees to the Bosphorus, we simply find nothing to apologize about, except perhaps in some minutae.