A Brexit deal is "within reach" next week, European Union negotiator Michel Barnier said on Wednesday, even as he rammed home his insistence that Britain must accept possible checks on trade between its mainland and Northern Ireland.
Should she press ahead with the plans, it is likely the 10 DUP MPs will vote against the deal, as they do not want Northern Ireland to be treated differently from Great Britain.
The Government is well aware of our position on this issue.
The UK and the European Union have yet to strike a deal on how Brexit will work, with less than six months to go before the UK leaves on 29 March.
Eurosceptic Tories claim dozens of Conservatives are also prepared to vote against a Chequers-style deal.
The prime minister will hold an extended discussion on Brexit at the cabinet meeting on Tuesday, the eve of her trip to Brussels, where she hopes to outline a compromise deal on the Irish border.
According to one of the academics who conducted "The Future of England Study", unionists' preference for Brexit over the territorial integrity of the United Kingdom "raises questions about the type of union we're in, and indeed what unionism means".
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But with both sides confirming that differences remain on issues such as the status of the Irish border, expectations are growing that the final moment of decision will be put back to a special summit in November.
Senior sources within the party told Sky News if Mrs May's breached their "blood red line" they would not vote for the budget on October 29. But he stressed: "Brexit was not our choice".
Selmayr meanwhile "provided a brief update on the state of play of the Commission preparedness work and recalled the importance for all stakeholders to prepare for all outcomes and at all levels". Progress report on #SecurityUnion.
British security commissioner Julian King said: "There are some issues that will need to be addressed in the context of a future partnership, including on security".
"We are awaiting the detail of exactly what we are going to be asked for vote for".
"But as far as security is concerned, it is very important in order to ensure the security of our citizens and safety for our countries to keep working together in the future".
Theresa May (pictured left in Downing Street today) is thought to be trying to unlock the negotiations with new plans for a "backstop" to avoid a hard Irish border.
Reports had suggested Mr Barnier would present a paper setting out new European Union proposals at Wednesday's meeting, but it is thought this has been delayed until closer to the summit date.