The party's Brexit spokesman Sammy Wilson later explicitly warned the Government against doing a deal that kept Northern Ireland in the Single Market, writing in the Telegraph the party could not support "any deal which includes such economically and constitutionally damaging arrangements".
Selmayr, secretary general of the European Commission, has been tasked with coordinating preparedness to protect the EU from economic and political damage if Britain leaves the bloc on March 29 next year without a divorce deal in place.
The deal believed to be on the table involves keeping the whole United Kingdom in an "arrangement" that effectively preserves the existing EU customs union, ensuring the goods continue to move freely over the Irish land border regardless of the future trade relationship between London and Brussels.
Those present included Jeremy Hunt, the foreign secretary, David Lidington, the Cabinet Office minister, Sajid Javid, the home secretary, and Michael Gove, the environment secretary.
Earlier, No 10 played down suggestions that the government was on the brink of unveiling a Brexit deal.
The de-facto Deputy Prime Minister was pressed on the DUP's support when he appeared on ITV's Peston on Wednesday night.
"An agreement is within reach for Oct 17, next Wednesday, if we succeed to the end of this negotiation now", Barnier said in a speech to business leaders at the European Parliament.
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One official close to Brexit talks said May never brings the cabinet together to tell them recent developments and so "it feels to me like the deal is practically done", the FT quoted the official as saying.
A day earlier, the DUP had said it was prepared to vote down the budget if the prime minister in their eyes conceded too much ground to Brussels in the European Union talks, risking an abrupt end to the confidence and supply agreement that has kept May in Downing Street since the 2017 election in which the Tories lost their overall majority.
The EU suggests Northern Ireland stay aligned with its customs union and single market during that period, and there are signs the British government could accept elements of this plan.
Theresa May will on Thursday ask her Brexit "war Cabinet" to agree a backstop plan that would keep Britain in a customs union with Brussels until a permanent trade deal can be agreed.
She added that Northern Ireland was not being offered the "best of both worlds".
Whitehall sources said before the meeting that they expected that key members of the cabinet would also discuss how to handle the DUP.