Sinn Fein leader Mary Lou McDonald met with Ceann Comhairle Verona Murphy on Wednesday night, who was also due to meet party leaders Simon Harris and Micheal Martin.
It came after the coalition and opposition blamed each other for a “farcical” row in the Dáil that saw efforts to appoint Micheal Martin as the new Taoiseach fail.
Proceedings were disrupted by the opposition several times over a row about speaking time – whether the independents who agreed the Programme for Government but who do not have ministerial roles should get opposition speaking slots.
The Ceann Comhairle halted proceedings four times earlier on Wednesday, without a resolution.
