Leo Varadkar and Micheál Martin will meet today to discuss options for forming the next government.
It may be the first step towards a grand coalition between the two parties.
The Fine Gael and Fianna Fáil leaders will meet later to discuss whether there's a basis for talks on forming an historic grand coalition between the two old rivals.
Many in Leinster House think the only realistic option to form the next government will be a deal between Leo Varadkar and Micheál Martin, propped up by the Greens and maybe some other smaller parties.
But there's a long way to travel between now and then - with Leo Varadkar stressing this is just an exploratory meeting, and that he'll bring word back to his parliamentary party on Wednesday if there's a basis for further talks.
Elsewhere Sinn Féin and the Green Party will start serious policy talks on a number of issues today as Mary Lou McDonald continues her efforts to form a left wing alternative government.
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