An agreement has been reached between the Government and Opposition parties that there should be a statutory investigation into NAMA arising from the Comptroller & Auditor General's report.
The report found that the agency incurred a potential loss to the taxpayer of £190m on the sale of its Northern Ireland portfolio after previous write downs were included.
Following its publication, the Cabinet agreed that there needs to be further investigation of the sale.
Submissions from the party leaders on what should be investigated will be forwarded to the Taoiseach's Department within the next week.
Sinn Féin's Finance spokesperson has said these submissions will be crucial in the formation of the inquiry.
Speaking on RTÉ Drivetime, Pearse Doherty said the inquiry should not be limited to what is contained in the C&AG's report.
Mr Doherty said "the issues of NAMA go way beyond the Comptroller and Auditor General's report. It goes way beyond Project Eagle.
"We have seen the allegations in relation to money being paid by developers to individuals who had relationships with NAMA to try and get those developers outside of NAMA. And they are the issues, in my view, that also need to be dealt with," he said.
Mr Doherty added that there is a need for political pressure to "try and get the DUP to support a commission of investigation."
The Government met with Opposition parties earlier this afternoon for a meeting that was expected to focus on what should be investigated, the most cost-effective way of doing that and the best format for such an inquiry.
Any outline for an inquiry will ultimately have to be debated in the Dáil when it returns at the end of the month.
NAMA has said the key finding of the report is "fundamentally unsound and unstable and cannot be left unchallenged".
Meanwhile, the Taoiseach has said that not all good suggestions for next month's budget are affordable.
Speaking at an event hosted by the employers' group IBEC, Mr Kenny said tax measures to support entrepreneurs and innovation are being considered as part of the budget.
The continued recruitment of front line public servants is also a priority, he said.