Published Thursday, 16 January 2014
Dr Richard Haass was brought in to look at contentious issues. (© Presseye)
It is understood the two men agreed that the political parties in Northern Ireland should resolve the issues, rather than the British, Irish and American governments.
The leaders of the Executive parties are expected to hold another meeting next Tuesday.
Earlier this week MLAs at Stormont voted against a Sinn Féin motion accepting Dr Richard Haass' proposals on flags, parades and dealing with the past.
The party's deputy First Minister, Martin McGuinness, then accused unionists of "dancing to the tune of extremists in their community".
Nigel Dodds of the DUP hit back by saying Sinn Féin are "wallowing in murder" by refusing to take leadership over the party's "continued glorification of past terrorism".
Former US diplomat Dr Richard Haass was brought in by the Executive to chair all-party discussions on a number of contentious issues, alongside co-chair Meghan O'Sullivan.
However the parties were unable to reach agreement before their end-of-2013 deadline.
© UTV News