Northern Ireland Secretary Brandon Lewis has vowed his office will only attend any future Lambeth Palace legacy talks if victims groups are involved.
The Conservative minister said he would need up front knowledge of who will be attending the talks before considering sending officials.
The first meeting, which took place at Lambeth Palace on November 2, was described by organisers as a seminar and was attended by government officials, academics, former IRA commander and Sinn Fein strategist Sean Spike Murray and loyalist Winston Irvine.
It was also attended by former Bedfordshire Assistant Chief Constable Jon Boutcher, who is heading the Operation Kenova legacy investigation into the IRA double agent known as Stakeknife .