The three Government party leaders - Simon Harris, Micheál Martin and Eamon Ryan - met this evening and had what was described as "a very constructive, and warm engagement".
The meeting covered a range of issues, including the legislative agenda.
The three leaders committed to the implementation of the Programme for Government and the Government serving its full term.
It follows what was Taoiseach Leo Varadkar's final Cabinet meeting this morning.
Speaking to reporters as he arrived at Government Buildings this morning, he said his successor, Mr Harris, has "a tough job" deciding who will stay in any Cabinet reshuffle, adding that it is impossible to keep everyone happy.
The now former Fine Gael leader said Cabinet reshuffles are "one of the most difficult" tasks within Government.
However, he added that while some TDs and ministers may be unhappy with any reshuffle, "as the last couple of weeks have shown, opportunities arise very quickly in politics".
The outgoing Taoiseach separately reiterated there was no scandal which convinced him to step down, saying he has already explained his reason for going and that while "people struggle to make sense of politicians telling the truth" he is being truthful.
"There has never been a time in any party ... where no one is complaining about you," Mr Varadkar said.
He also defended the hate crime bill, and said Sinn Féin has shown "cowardice" by saying it now opposes the plan after "online campaigns" criticised it.
Also speaking this morning, Mr Harris said any Cabinet reshuffle will be focused on policies rather than personalities, amid ongoing speculation about what changes may take place.
The Wicklow TD said he wants to spend the coming days examining what policies need to be "turbo charged" and what new policies may need to be introduced.
He said he is "not there yet in my head" in terms of which colleagues may be promoted or demoted as part of any reshuffle.
Additional reporting: Fiachra Ó Cionnaith
