Taoiseach Enda Kenny has reached out to Mick Wallace in the hope of discussing the Independent TD's calls for an inquiry into Project Eagle.
Wallace has been vocal in his criticism of the National Asset Management Agency's (NAMA) sale of the Project Eagle loans in its Northern Ireland property portfolio.
He told the Dáil last this month that the US-based buyer, Cerberus Capital Management, would double its money on the €1.6bn purchase of the loan book, querying "how are we not investigating that?"
He also wrote to the Central Bank to "possible criminal offences" involved in the deal.
The National Crime Agency in the UK, and the Federal Bureaeu of Investigation and Securities and Exchange Commission in the US are investigating the matter which has already seen the arrest of a number of people.
While Wallace did not comment on meetings last night, the Irish Times reports Leinster House sources as confirming that consideration is being given to establishing an inquiry into how NAMA has been run.
Wallace met separately with Fianna Fáil leader Micheál Martin and Sinn Féin leader Gerry Adams to discuss the situation yesterday.