Former CEO of Anglo Irish Bank David Drumm has ruled out returning to Ireland from the United States to give evidence to the banking inquiry.
However, Mr Drumm said he would be willing to give evidence via video link.
The inquiry has sought legal advice on his offer ahead of deciding whether to accept it.
Mr Drumm moved to the US six months after resigning from Anglo Irish Bank in December 2008.
He has refused to return to Ireland to be questioned about events leading up to the collapse of the institution.
His extradition from the US is being sought by the State.
Mr Drumm has furnished the inquiry with a witness statement and is technically in compliance with their request for co-operation.
But gardaí have sought Mr Drumm's extradition from the US and he has told the committee he is unwilling to come back to appear but has offered to give evidence by video link.
The inquiry has sought legal advice about the admissibility of such a move and plans to meet on Tuesday to decide on its next step.
However, two committee members are vehemently opposed to facilitating someone they regard as a fugitive from justice in this regard.