Official contact between the two parties has not yet been made, but there is a sense of inevitability that a historic Fianna Fail-Fine Gael coalition government, supported by the Green Party, or, if not, a group of like-minded Independents, will be in place in weeks, not months as originally speculated.
That is not to say everybody in Fianna Fail and Fine Gael is happy at the prospect - far from it.
Indeed, a grand coalition may yet struggle to get the required ard fheiseanna support of both parties, with some senior Fianna Fail TDs, in particular, opposed to the idea.
But with a reshuffled and more strident new UK government already taking advantage of the political impasse here, with Brexit future trade talks about to begin and with home-grown crises aplenty, there is a sense of urgency at the highest levels in Fianna Fail and Fine Gael, in particular, to get on with the business of government formation.
Meanwhile, Sinn Fein, which won almost 25pc of the vote - or, alternatively, rejected by 75pc of voters - is whipping up opposition to the idea of a grand coalition, portraying it as 'no change' or more of the same; and with online petitions gaining signatures and the prospect of organised street protests on the horizon, the view is that a government should be in place before St Patrick's weekend.
Indeed, there are those already speculating on cabinet members: Taoiseach, with responsibility for Northern Ireland policy, Micheal Martin; Tanaiste and Foreign Affairs Minister Leo Varadkar; Finance Minister Paschal Donohoe; Public Expenditure Minister Michael McGrath (or vice versa); Brexit Minister Simon Coveney; Justice Minister Jim O'Callaghan; Environment and Climate Change Minister Eamon Ryan; Health Minister Stephen Donnelly; Agriculture Minister Charlie McConalogue; Enterprise and Trade Dara Calleary.
And take your pick from these or others to make up 15, including a Housing Minister, if that tainted portfolio is not to be abolished, with possible Super-Juniors: Helen McEntee; Heather Humphreys; Catherine Martin; Marc MacSharry; Robert Troy; Niall Collins; Niamh Smyth or Anne Rabbitte - or Lisa Chambers from the Seanad. And Barry Cowen, if he changes his mind and wants to be considered. Ditto Willie O'Dea, who is smarter than the lot of them put together and might be willing to stomach the Greens, who claimed his head last time. There are others, too: Eamon O Cuiv, Darragh O'Brien, even Eoghan Murphy and Simon Harris again. All things considered, a good cabinet, not a great cabinet. Well, not a bad cabinet anyway.
An outstanding issue is whether there will be a rotating Taoiseach. My view is that Micheal Martin will accede - history again - making way for a Fianna Fail leadership change in three years and for Jim O'Callaghan to be elevated if he settles in to this new arrangement. Look, it's a parlour game. The bottom line is a FF-FG-Greens coalition seems nailed on.
The real issue is whether it can get to grips with the housing crisis and health issues, which saw both lose significant ground to Sinn Fein in the election, and whether they can put back in a box the nationalism let loose by Varadkar and Coveney during Brexit, which turned out to the benefit of Sinn Fein, giving licence to older generations to vote for that party. For if this government fails to deal with these crises, the centre is less likely to hold next time.
At this stage, it looks as if Sinn Fein will lead the opposition, a position from which Mary Lou McDonald (left) will excel. Truth be told, Sinn Fein will make noise but not be too upset at the prospect, because if the new government fails, Sinn Fein will sweep to power next time. Should the new government succeed in housing and health, well then all those Sinn Fein TDs you've never heard of before may disappear and the party will wither on the vine or recede at least. We are in for an interesting five years.