Since Monday, they have been gathering for the closed-door discussion sessions, where the leaders of the church from around the world can informally discuss what is on their minds.
Now, against the backdrop of the hijacking, Vajpayee's Hindu nationalist-led coalition has effectively closed the door on any kind of discussion with Pakistan.
The BBC's Politics Show was told there had been no discussion in cabinet on whether to end this country's "open door" policy towards Eastern European migrants, and claimed John Reid's comments had caused "intense irritation at the highest levels of government".