"We have always had the support of the European Union and I don't see that changing".
The Irish taoiseach Leo Varadkar has been adamant that the European Union will not budge on the issue.
Seamus Leheny of the Freight Transport Association said there are now three potential outcomes for Brexit: A no-deal on April 12, a general election followed by a long extension to Article 50, or revocation of Article 50.
The Northern Irish DUP has said it will not support the government if it tables a fresh meaningful Brexit vote because "the necessary changes we seek to the backstop have not been secured".
The uncertainty around Brexit, the United Kingdom's most significant political and economic move since World War Two, has left allies and investors aghast.
Despite Mrs May promising to step down if MPs supported her Brexit deal, DUP leader Arlene Foster last night told Sky News her party was unable to support it while it "poses a threat to the integrity of the UK".
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The Minister for European Affairs, Helen McEntee, said it will be "very difficult" for Ireland to reconcile its obligations to the EU with protecting the Good Friday Agreement in the event of a no-deal Brexit. Ireland still doesn't acknowledge how urgent the situation is, according to one of the officials.
The now seamless 500 km (350 mile) border would be the United Kingdom's only land frontier with the European Union after Brexit and the question of how it is kept open has become a major hurdle in efforts to ensure the UK quits the bloc in an orderly fashion.
Hundreds of people have taken part in a number of mass demonstrations on the Irish border in opposition to Brexit.
The British Parliament has been unable to agree on any of the proposed plans for how to execute Brexit.
But Ireland, which insists there can be no return to a hard border - a symbol of decades of violence which ended with a peace accord in 1998 - has been reluctant to spell out what would happen if the Brexit deal fails.
Former Sinn Fein leader Gerry Adams and current leader Mary Lou McDonald were among around 300 people demonstrating on a bridge near the border town of Newry, above the motorway linking Northern Ireland capital Belfast to Dublin, capital of the Republic of Ireland.