It still has not been confirmed whether or not the Common Travel Area between Ireland and the UK will be maintained when Britain leaves the EU.
The arrangement means that Irish citizens are treated the same as the British in areas like employment and social welfare.
Chief Executive of Tourism Ireland Niall Gibbons, said he will be calling for the Common Travel Area to be preserved.
The Northern Secretary Theresa Villiers is insisting that the border will remain open, in spite of the UK's departure from the EU.
There are concerns that border checks may be re-imposed once the UK officially leaves the European Union.
But Theresa Villiers claims that will not happen: “I believe we can retain a border which is as open and free flowing as it is today.
“Obviously nothing changes today, but I am convinced that we will be able to find a way to ensure that we keep that border as open as it is today.
“It is very important that we do so.”