New Fine Gael leader Simon Harris and Taoiseach Leo Varadkar met for over an hour on Monday morning to discuss the transition of power.
The pair met at Government buildings in Dublin a day after Mr Harris was selected as the new party leader in Athlone, Co Westmeath.
“Taoiseach Leo Varadkar met Fine Gael leader Simon Harris this morning for well over an hour,” a spokesman for Mr Varadkar said.
“The Taoiseach briefed the Fine Gael leader on upcoming national and international issues.”
Mr Harris was confirmed as leader of Fine Gael after nominations closed, and no other candidates put their names forward for the leadership.
The 37-year-old, currently the further and higher education minister, will be formally elected as Taoiseach in the Dáil in April following the Easter recess.
It follows the shock announcement by Mr Varadkar that he would be stepping down as Fine Gael leader and would resign as Taoiseach as soon as his successor was selected.
Speaking to party members on Sunday, Mr Harris said he would repay the trust put in him with hard work as leader of the party.
Mr Harris is expected to meet other coalition leaders Micheál Martin and Eamon Ryan later this week.
Fianna Fáil representative and finance minister Michael McGrath said these discussions will include plans for the future of the Government, as he said the country needs “certainty and stability”.
Speaking in Kilkenny, Mr McGrath added: “We have an agreed programme for Government and all parties are committed to that programme for Government.
“Fianna Fail has been very consistent in our approach to Government over the last four years and we will continue to offer that certainty and stability that I think the country needs at this time.”
Mr McGrath also welcomed Mr Harris’s commitment for the Government to run into next year.
The coalition could run into February, allowing for an election to be called as late as March 2025.
Speaking in Kilkenny, Mr McGrath added: “Governments should serve their full term except for events or exceptional unforeseen circumstances.”
