Taoiseach Enda Kenny has this evening met First Minister Arlene Foster for the first time in Government Buildings.
The pair have endured a rocky relationship in recent months in the wake of the Brexit vote on June 23.
But they met this evening to discuss the cross border implications of Brexit as well as the joint bid to secure the 2023 Rugby World Cup.
Ms Foster has been very critical of Mr Kenny's All Island forum on Brexit, saying it was unnecessary.
Welcoming her into his office, Mr Kenny said he was delighted to have the chance to meet Ms Foster for the second of three meetings this week.
The pair met at the weekend at the Enniskillen memorial and will meet again on Friday in Armagh.
"I'd like to welcome First Minister Arlene Foster here to Government Buildings. I met with the First Minister in Enniskillen on Sunday on the occasion of remembrance there," he said.
"We look forward to a very constructive discussion here about issues that of concern to us, north and south, and we look forward to our meeting for the third week this week on Friday in Armagh at the North-South Ministerial (Council).
In response, Ms Foster said it was good to be back in Dublin.
"Thank you Taoiseach and it is good to be back in Dublin with Simon Hamilton," who is the North's Economy minister.
"We are very much looking forward to proceeding with that bid together and we're hopeful we are going to make a difference in that respect," she added.
"But we are looking forward now to a constructive, business like meeting. We know that our officials have been working together on some work and we want to discuss some of the issues," Ms Foster told reporters.