Taoiseach Enda Kenny has said Sinn Féin's Gerry Adams should name the driver of the van that brought Austin and Oliver Stack to a meeting with the IRA.
The meeting was held in relation to the death of their father Brian Stack, a prison officer who died 18 months after he was shot in an IRA attack in 1983.
Speaking on RTÉ's Six One News, Mr Kenny said that he expected Mr Adams to name "the driver of the blacked out van to the Garda Commissioner – so that information could be part of a live investigation that’s going on here."
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He said that Brian Stack’s killer is known and he described Mr Adams statement in the Dáil as "incomplete".
Mr Adams responded to Mr Kenny's remarks saying that if the Taoiseach is serious about assisting victims "he should focus his energy on establishing a proper truth recovery process".
In a statement, Mr Adams questioned why the Taoiseach waited until now to make this call "when a process was agreed between me and Austin and Oliver Stack that culminated in a meeting between the Stack brothers and a former IRA leader in 2013".
Mr Adams said the issue is only being raised now "as a result of the Fianna Fáil leader and the Taoiseach trying to exploit victims in the name of scurrilous political point scoring."
Mr Stack also demanded that Mr Adams reveal the name to gardaí of an IRA figure that he brought the Stack brothers to meet.
Minister for Social Protection Leo Varadkar has said the "politics" of the Stack affair should be set aside.
Speaking in Brussels, the minister said: "I think we need to always remember that [the Stack affair] isn't primarily or just about politics.
"Behind this there is a man, a prison officer working for the State who was murdered, and a family that still don't have the answers to the questions they're entitled to.
"I think maybe we should set the politics aside on this and call on those who have information who do know what happened and who was responsible for the murder of that man to come forward and give a family that are still grieving the information they're entitled to," he said.
Ferris, Ellis seeking advice over Farrell's Dáil comments
Meanwhile, Sinn Féin TDs Martin Ferris and Dessie Ellis are seeking advice on whether they will lodge a complaint to the Oireachtas authorities that Fine Gael TD Alan Farrell abused Dáil privilege yesterday.
Mr Farrell named Mr Ellis and Mr Ferris in connection with the 1983 murder. Both men rejected any suggestion they were involved in the murder of Mr Stack.
Mr Adams accused Mr Farrell of abusing Dáil privilege to name the two Sinn Féin TDs in relation to the Stack case.
Mr Farrell has denied that he abused Dáil privilege.
Speaking on RTÉ’s Morning Ireland, Mr Farrell said that he was motivated to name Mr Ellis and Mr Ferris because there is a murder victim's family who have not received any justice.
TD Alan Farrell denies he abused Dáil privilege when he named two deputies in association with Brian Stack's murder https://t.co/WV8IH04dXv
— RTÉ News (@rtenews) December 8, 2016
The Dublin Fingal TD said he was frustrated because he felt that Mr Adams had failed to address a number of unanswered questions during his address to the Dáil.
Mr Farrell said he did not imply that either man had been involved in any wrongdoing, but said that Mr Ellis and Mr Ferris should be given the same opportunity to address the Dáil, as Mr Adams had done.
Mr Farrell said this was because he had been led to believe Mr Adams named the two men in correspondence with the Garda Commissioner.
He said he was provided with the information from a "confidential, trusted source" and he was confident the information was provided in good faith.
He said that he did not accept that asking Mr Ellis and Mr Ferris to make a statement, in regards to the inclusion of their names in correspondence between their own party leader and the Garda Commissioner, would put them in danger.
Former attorney general Michael McDowell has said he does not believe Mr Farrell has abused Dáil privilege or done anything either "unlawful or unconstitutional".
Speaking to RTÉ's Today with Sean O'Rourke, Mr McDowell said it was "clearly a breach in the order of the House", as other members are not entitled to make personal statements as he did following Gerry Adams statement.
Meanwhile, Fianna Fáil leader Micheál Martin has said Mr Adams did not make a true statement when he claimed he had no information on Mr Stack's murder.
Speaking on RTÉ's Today with Seán O'Rourke, Mr Martin said that Mr Adams attended a meeting with the IRA where Brian Stack's sons were told "not only had the IRA carried out this ... but they had disciplined the man who gave the instruction."
When questioned about Mr Farrell's decision to name the two other Sinn Féin TDs, Mr Martin said he was uncomfortable with the naming of anyone in the Dáil and he would not do it.
However, he said Mr Farrell did not accuse the men of being involved in the murder but asked if the two individuals should take the opportunity to make a statement.
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