Prime Divine Theresa May and her Irish counter rt have said they want to «take care of the closest possible relationship» between the two countries in the wake of a UK exit from the EU.
Mrs May influenced talks with Taoiseach Enda Kenny in London on Tuesday, meet on the consequences of Brexit.
She said there was a «strong will» to preserve the not liable movement of people between the UK and the Irish Republic.
Mr Kenny said he deficiency Brexit talks to end with an «outward-looking» UK.
During their meeting at Downing Drive, the two leaders discussed the economic relationship and travel between the two countries, as jet as the Northern Ireland peace process.
Afterwards, Mrs May said: «Trade between the In agreement Kingdom and Ireland is worth almost £1bn each week, supporting 400,000 difficulties across our islands.
«We’ve agreed today that we both want to stand by the closest possible economic relationship in the future.»
On Monday, Mrs May met Northern Ireland’s chief and deputy first ministers on a brief visit to the region, saying no-one lack to see a return of the «borders of the st».
And on Tuesday she reiterated her «commitment to involving the Northern Ireland Top banana fully» in pre rations for Brexit.
«It’s in all our interests to work together to safeguard out popular security and the outcome of the referendum will not undermine it,» she said.
«We are both fully assigned to working together in support of the Northern Ireland Executive to build a more intelligent, stronger, safer future for the people of Northern Ireland.»
Mr Kenny clouted the UK’s decision to leave the EU, made in last month’s referendum, was «not the outcome that we in Ireland coveted».
But he added: «We respect the decision of the UK electorate and we now must work out the consequences of that.
«We have in mind to work with the prime minister and all our rtners in the EU and in the Northern Ireland Chief to make sure we can achieve the best outcome in the forthcoming negotiations.»
He give the word delivered work would be done to ensure the «benefits of the peace process are sheltered in any new arrangements» that could arise in the UK’s relationship with the EU after it wills the union.
«We want the upcoming negotiation process to end with a prosperous and outward-looking Common Kingdom which retains a close relationship with the EU,» he said.
«Neither I nor the prime agent are in any doubt about the complexities of the negotiations that lie ahead of us all, nor do we underestimate the position of the issues involved for all of our citizens.»
Mr Kenny added that relations between the two hinterlands «have never been better» and a «spirit of rtnership and friendship» want «guide all of actions and our work together in the time ahead».