Ms Beverley Cooper-Flynn will meet tomorrow with Fianna Fáil party chairman, Dr Rory O'Hanlon and chief whip Mr Seamus Brennan, for talks ahead of Wednesday's party meeting.
Earlier today, Labour party leader Mr Ruairí Quinn called on the Taoiseach to take "decisive action" on Ms Cooper-Flynn and expel her from the Fianna Fáil Parliamentary Party.
Speaking on RTÉ radio this morning Mr Quinn said Ms Cooper-Flynn should resign her Dáil seat in light of the verdict in her libel trial against RTÉ.
Deputy Cooper-Flynn
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Yesterday the Taoiseach criticised Ms Cooper-Flynn's actions while working for National Irish Bank (NIB) before becoming a TD.
It emerged in her defamation trial against RTÉ journalist Mr Charlie Bird and retired farmer Mr James Howard that Ms Cooper-Flynn had advised or encouraged people to evade tax while working for NIB.
Mr Ahern said Fianna Fáil took a dim and serious view of Deputy Cooper-Flynn's conduct. Speaking on RTÉ radio yesterday he stressed his own view that tax evasion was wrong and encouraging others to do so was also wrong.
Mr Quinn has called on the Taoiseach to "match his strong words with appropriate action" and deal with Ms Cooper-Flynn in a more decisive manner than he had with Mr Ray Burke, Deputy Denis Foley or Deputy Liam Lawlor.
He said in a statement the action taken by the Taoiseach in these cases was "either minimalist or non-existent".
Mr Quinn said it had taken the Taoiseach almost two weeks to speak out against Ms Cooper-Flynn and criticised Mr Ahern for not indicating what action if any he proposed.