The Irish Bank Officials' Association is seeking talks with Minister for Finance Brian Lenihan over the future of Irish Nationwide.
Earlier this month, Irish Nationwide reported a loss after tax of €243m for last year after setting aside €464m to cover potential losses from loans.
General Secretary of the IBOA Larry Broderick described the results as disturbing.
Mr Broderick said IBOA members in Irish Nationwide were extremely concerned about the possible impact on customers and on their own job security and terms and conditions.
The Taoiseach has told the Dáil that he expects an interim Chief Executive and board for the National Asset Management Agency to be put in place as soon as possible.
Brian Cowen described NAMA's work as a mammoth task.
Eamon Gilmore asked how many staff NAMA would employ and if the agency is affected by the recruitment embargo.
Mr Cowen said staffing would be a matter for the board and the Finance Minister and that recruitment could take place.
