The British and Irish governments are to hold talks with Northern Ireland's parties in Belfast next Tuesday.
The discussions, arranged by Secretary of State for Northern Ireland Theresa Villiers, following the rejection of the Welfare Reform Bill, on Tuesday.
Minister for Foreign Affairs Charlie Flanagan will represent the Government at next week's meeting, on issues where it has a role as co-guarantor of the Good Friday Agreement.
It is not clear if Peter Robinson will have recovered sufficiently to lead the DUP delegation.
The 66-year-old Northern Ireland First Minister was released from Belfast's Royal Victory Hospital this morning, following treatment for a heart condition.
The power-sharing Executive is facing a budgetary crisis and it has been unable to reach consensus on implementing measures, including the reform of welfare spending, that were part of the Stormont House Agreement concluded last December.
Ministers in the Executive also fear that their difficulties will increase next month when the British Chancellor of the Exchequer, outlines plans for more cutbacks in spending, including a reduction in the block grant provided by Westminster for the Stormont administration.
Sinn Féin, assisted by the SDLP and the one Green Party member in the Assembly combined to block the Welfare Reform Bill at Stormont last week.
It is expected to discuss the situation at the Sinn Féin party Ard Comhairle tomorrow.
