As ministers gathered at 10 Downing Street, the Prime Minister said she remained confident of securing a withdrawal agreement with the European Union, but the Government would continue to plan for the possibility of no deal.
Monday's Cabinet meeting was told that in the post-Brexit immigration system, EEA and non-EEA nationals "should be part of one universal system".
Earlier on Tuesday, Labour said it was likely to oppose any deal negotiated by Theresa May as it did not meet its six tests, lessening the chances of it getting through Parliament.
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He appeared alongside former foreign secretary Boris Johnson and ex-Brexit secretary David Davis as Mrs May met her cabinet for the first time since last week's Salzburg showdown.
Mrs May is expected to tell the Bloomberg Global Business Forum in NY that post-Brexit Britain will be an unequivocally pro-business Britain.
'It would be the first free trade deal in history that increased barriers to trade and did not reduce them, ' she said.
"If it is based on Chequers then myself and my colleagues in the ERG can not vote for Chequers because we believe it doesn't represent Brexit", the former defence minister told BBC Radio 4's World at One.
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It came as a list of 24 technical notices published by the government on Monday showed how everyday life could be disrupted in the event of a "no deal" Brexit.
However, amid the increasingly personal battle between Mr Davis and Mrs May, the prime minister...
It's a deal which retains the union of the United Kingdom, our constitutional integrity, it's a deal which provides for no hard border between Northern Ireland and Ireland, protects jobs and enables us to have a good trade relationship with Europe and the rest of the world.
However, during her NY flight she welcomed what she described as clarification from the EU Council President Donald Tusk that there remained hope, expectation and desire for a deal on the side of the European Union.
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Adding: "One thing that I would say though is that the European Union has a habit of spurning democratic votes, whether in referendums in this country - and they're trying to do that to some degree - or the rest of the EU".