The British Prime Minister Theresa May will visit Dublin on Friday to meet the Taoiseach Leo Varadkar as the Brexit stalemate continues.
While Mr Varadkar will travel to Northern Ireland to meet political parties ahead of Mrs May's arrival.
He will be in Belfast for meetings with each of the five main political parties there.
The Government has said these meetings will provide an opportunity to discuss the "ongoing political impasse in Northern Ireland", which has been without an executive and an assembly for more than two years.
The meetings are also hoping to get the parties' views on how progress can be made to break the current deadlock.
Mr Varadkar will also hear the parties' concerns on the latest Brexit developments.
Later Mrs May will be in Dublin for dinner with Mr Varadkar.
"It's an opportunity as well to discuss the situation and work together to chart a way forward", Mr Varadkar said on Wednesday.
It comes as European Council President, Donald Tusk, said there was still "no breakthrough in sight" after meeting Mrs May in Brussels.
Meeting PM @theresa_may on how to overcome impasse on #brexit. Still no breakthrough in sight. Talks will continue. pic.twitter.com/vn2CVybc1j
— Donald Tusk (@eucopresident) February 7, 2019
In a joint statement after their talks, Mrs May and EU Commission President Jean-Claude Juncker said: "President Juncker underlined that the EU27 will not reopen the withdrawal agreement, which represents a carefully balanced compromise between the European Union and the UK, in which both sides have made significant concessions to arrive at a deal.
"President Juncker however expressed his openness to add wording to the political declaration agreed by the EU27 and the UK in order to be more ambitious in terms of content and speed when it comes to the future relationship between the European Union and the UK.
"The discussion was robust but constructive.
"Despite the challenges, the two leaders agreed that their teams should hold talks as to whether a way through can be found that would gain the broadest possible support in the UK parliament and respect the guidelines agreed by the European Council."
The two will meet again before the end of February.
Meanwhile, Attorney-General Seamus Woulfe will meet his British counterpart Geoffrey Cox.
Mr Cox has been working to either provide a time limit on the backstop - or give the UK way to remove the backstop unilaterally if it needs to.
The backstop is a customs plan to avoid a hard Irish border, if a Brexit deal is not reached.
There are less than 50 days before the UK is due to leave the bloc.
