The British Irish Chamber of Commerce has said Ireland and the UK must start thinking now about the deal they will need to continue trading uninterrupted after Brexit.
The organisation's Director General John McGrane has said that any special deal will need the support of the other EU member states.
Trade between Ireland and the UK is worth about €60bn a year and the majority of the North's food exports are to the Republic.
McGrane has said that this healthy trade needs to continue.
“Our job as a representative body for business, and the communities they serve, is to help our two governments and their officials to negotiate really well to craft the special deal that is needed between the UK and Ireland because of our unique exposure on the north-western fringes of Europe,” said McGrane.
“With huge historic ties (between Ireland and the UK) in terms of trade and community, that makes us especially deserving and needful of that special deal.”
Meanwhile, Bord Bía has said there is a high level of uncertainty among Irish food and drink exporters after the Brexit vote.
It has said that a lot of the doubt is in relation to the volatility of sterling and the fact that a trade deal will be needed between Ireland and the UK, after Britain leaves the EU.
Bord Bía is briefing exporters today on how they can build on relationships to ensure that the UK remains a key market.
Head of Markets Padraig Brennan has said it would be very difficult to find another country to take 41% of our exports.
“The reality is in a lot of categories the UK is not self-sufficient in meat or in diary products,” said Brennan.
“There is an opportunity there all the time in terms of fulfilling their import requirement. The demand from an Irish point of view is to make sure we’re in a position to be able to do that and compete in that market on an ongoing basis.”