It is understood that DUP leader Peter Robinson was briefing his team about the current stage of the negotiations with Sinn Féin.
A statement from the DUP described today's meeting as 'useful and constructive'.
It said discussions with other Assembly parties will continue next week.
While there were no face-to-face talks between the DUP and Sinn Féin today, it is understood that the US Secretary of State Hillary Clinton had a telephone conversation with the Deputy First Minister about the negotiations yesterday.
Both the DUP and Sinn Féin have been tight-lipped about the progress made in the talks so far, which is being taken as a good sign.
