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 Dail 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.