The DUP says Sinn Féin should be excluded from the Northern Executive.
It comes after the PSNI assessment that members of the IRA were involved in the murder of Kevin McGuigan in Belfast earlier this month.
A DUP delegation has met the Northern Secretary today and is due to hold talks with British Prime Minister David Cameron.
The DUP says the exclusion of Sinn Féin would be preferable to the withdrawal of the UUP.
Yesterday, the UUP said it would withdraw from the executive, after Sinn Fein insisted the provisionals no longer existed.
The UUP leader Mike Nesbitt says that trust was the central issue for his party.
Martin Ferris says that some former IRA members - including himself - are active in politics and other walks of life, but that the organisation itself has left the stage.
It comes as the DUP say they are prepared to bring down the power sharing arrangement in Northern Ireland because of the PSNI assessment that the IRA still exists.
But Deputy Ferris told Radio Kerry that the organisation is no longer in existence.
The Democratic Unionist Party is meeting with Secretary of State Theresa Villiers today to ask for Sinn Féin to be excluded from Stormont.
The SDLP has warned that the future of power-sharing is now 'perilously' close to 'total chaos'.
Sinn Féin TD Pearse Doherty told the Pat Kenny Show a collapse of the political structure would impact on communities in the North.
Yesterday, the Ulster Unionist Party said it intends to withdraw from Stormont after the PSNI said it suspects IRA involvement in the murder of Kevin McGuigan.
But Sinn Féin says the IRA is no longer active.
Denis Bradley, former vice-chair of the police board for the PSNI, spoke with Newstalk Lunchtime and stated that: "The role of the new institutions when they got up and running was to force, demand that those organisations fade away".
"We left quite a bit in the Good Friday Agreement unresolved, particularly around the issues of the past, around the issues of victims, around the issues of justice, around the issues of truth and in many ways, those became the stumbling blocks that we never got past and they have come to haunt us. They have been very alive in the last number of years".
He finished by stating: "I think if they allow the DUP to collapse the institutions, it's going to be very difficult to get them back up and running again".
"I think if the two governments come together and they actively parole or suspend or give a rest to the institutions for a number of months to actually deal with the outstanding issues of the past... then I think they can put the institutions back on the rails again".
You can listen to his interview here:
Belfast-based security correspondent, Alan Murray, told Newstalk Breakfast the DUP will not be successful when party representatives meet with Ms Villiers later.
Last night Garda Commissioner Noirin O'Sullivan in a statement said she had no reason to believe that the Provisional IRA were militarily active.
The statement was focused purely on “a specific question as to whether "the Provisional IRA still maintains its military structure and confines its criminal activities to fuel laundering, cigarette smuggling and counterfeiting," Ms O'Sullivan said.
