Caretaker Taoiseach Mr Enda Kenny is understood to have offered the Fianna Fáil leader Mr Micheál Martin a full and equal partnership in the next Government, following their meeting in Leinster House at 8.30pm this evening.
Both men met to further discuss the possibility of forming the next Government.
Mr Kenny is understood to have proposed a Government compiled of Fine Gael, Fianna Fáil together with a small number of like-minded Independent TDs.
The meeting is understood to have been attended by Mr Martin, Mr Kenny and a note taker.
Both men are due to meet again tomorrow morning, ahead of a Fianna Fáil parliamentary party meeting, latter due to take place at 11.00am.