Opposition TDs have called for an inquiry to be set up into the sale of NAMA's Project Eagle Northern Ireland loan book following a BBC programme on the issue last night.
Sinn Féin President Gerry Adams told the Dáil that a Commission of Investigation is needed.
Speaking ahead of the debate on the European Commission Apple state aid ruling, Mr Adams asked Taoiseach Enda Kenny to allow time to discuss the revelations today or tomorrow.
"Many of us have raised this issue consistently in the Dáil and there seems to be credibility in relation to what we have been asserting.
"We have asked for a Commission of Investigation into it and I think it is pertinent for the Taoiseach to allow for this to be discussed."
Fianna Fáil leader Micheál Martin also called for a cross-party meeting on the issue.
"I would suggest that the Taoiseach would ask and convene in the next while a meeting of all party leaders to discuss the best way forward to deal with the Project Eagle situation because there are very significant legal issues and we just need to do it in an informed, organised way as opposed to simple motions."
In response, Mr Kenny said there is a criminal investigation going on in Northern Ireland but he will consider the request to see if anything can happen outside that investigation.
"We can't interfere with a criminal investigation in another jurisdiction," he added.
Independents4Change TD Mick Wallace accused the Government of not wanting to “lift the covers” on the sale.
Mr Wallace's motion calling for a Commission of Investigation to be established into the sale was defeated in the Dail by 81 votes to 51 in June.
In 2014, US Investment company Cerberus Capital Management bought the NAMA portfolio of Northern Ireland-based debtors.
It had a book value of £4.5bn. The purchase price was not disclosed but NAMA said at the time it was the biggest single transaction in the agency's history.
Speaking on RTÉ’s News at One, Fianna Fáil TD John McGuinness said an all-island approach is required on the matter.
"An inquiry is absolutely necessary to clear up all of the questions that have arisen from that programme and the outstanding questions from other public comments that have been made."
He added that until both governments north and south "decide that this is something that needs to be investigated, that this is something that the public need answers to, we will not get the full picture."
During tonight's question and answer session at the conclusion of the ten-and-a-half hour Dáil debate on the Apple tax ruling, Sinn Féin's Pearse Doherty asked Minister for Finance Michael Noonan about the latest allegations around Nama's Northern Ireland portfolio.
Mr Noonan said he received the Comptroller and Auditor General's report into the sale of NAMA's northern portfolio in August.
He said he has three months to publish it but he expects to do so before the Dáil returns on 27 September.