Taoiseach Leo Varadkar is seeking a meeting with Fianna Fáil leader Micheál Martin in the "near future", a Government spokesman has confirmed.
This evening, Fianna Fáil sources said no date for discussions regarding extending the Confidence and Supply arrangement has been set.
The negotiations are expected to be crucial to the timing of the General Election because the Government's numbers in the Dáil have become much tighter in recent weeks.
The resignation of former Fine Gael TD Dara Murphy and the threat by Fianna Fáil TD John McGuinness to support any future no-confidence motion in the Government has weakened parliamentary support for the coalition.
The development comes as details of a letter from the Taoiseach to Mr Martin were reported today in the Sunday Independent.
Mr Varadkar set out his priorities for the spring term including negotiating a future relationship with the UK after Brexit, and engaging with the British government and Northern Ireland's parties to restore power-sharing.
The Taoiseach's list also includes enacting the Climate Change Bill, legislation on the Land Development Agency and a bill on the Irish language.
The National Broadband Plan, reforms to Local Property Tax, concluding ethics investigations into voting and fobbing-in at the Oireachtas, and developing a new system for Dáil expenses are on the agenda too.
In the letter, the Taoiseach repeats his call for Fianna Fáil to "agree to vote with the Government where necessary rather than abstain".
Mr Varadkar also rejects the suggestion that the Dáil would be "wound down" and says "we need an ambitious programme" from this month until the dissolution of the Dáil.