British Prime Minister Theresa May addresses a press conference at the end of the EU Informal Summit of Heads of State or Government at the Mozarteum University in Salzburg, Austria, on Thursday.
At a dinner to open the summit last night Mrs May objected to proposals from the European Union on the legal expression of the backstop as it would create an effective border in the Irish Sea and carve off Northern Ireland from the rest of the UK.
Investors have pushed the pound to its highest since July this week as they grow confident that a Brexit trade deal - helping Britain avoid a disorderly exit from the European Union - can be clinched in the coming months.
May rejected the sense that negotiations were falling apart when pressed by reporters at a news conference as the summit in Austria.
But Mrs May said Chequers was "the only credible and negotiable plan on the table that delivers no hard border in Northern Ireland and also delivers on the vote of the British people". Theresa May said it was either that or no deal.
He wants to see a major breakthrough by the time the leaders meet again in Brussels on October 18 to 19.
An official EU summit set for October 18-19 was previously considered the "last chance" for a formal Brexit deal, as any plan must be approved by the United Kingdom parliament, the European Parliament, and the individual legislatures of all 27 remaining EU member states.
That could would lead to Britain crashing out of the European Union on Brexit day, a development that in theory could see flights parked and trade between the two sides grind to a halt.
Amid another blizzard of Brexit headlines on Thursday, British Prime Minister Theresa May said she believed there was a growing desire to sit down and reach a deal. Mostly because we have been focused on external border control and cooperation with third countries, which has brought down the number of irregular migrants from nearly 2 million in 2015 to fewer than 100.000 this year.
'We are ready to improve this proposal.
"It is a sovereign choice for the British people".
Tusk says the plans being pushed by May would undermine the EU Single Market.
Emmanuel Macron, the French President, was harshest of all. He said that while there were "positive elements" in May's Chequers plan, a deal that puts the single market at risk can not be accepted.
Paul Whiteley, a professor of politics and government at the University of Essex, explains the latest on the unfolding Brexit process.
"The Irish question remains our priority too".
After dining on Wiener Schnitzel and wrangling over Europe's migrant problem, May was given the floor and tried to win over her 27 peers by asking them what they would do if they were asked to agree a "legal separation" of their countries.
Jacob Rees-Mogg, the leader of the backbench eurosceptic Tory ERG group, said it was time for the prime minister to accept her proposal was dead.
In response, May said Britain was preparing to leave the bloc without an agreement on the terms of its departure unless there is a proposal it deems acceptable.
Brexit is a word you'll have heard a LOT over the last two years.
It all suggests a fractious summit in Brussels next month.
May was also set an October deadline for a solution on the Irish border issue just hours after informing Leo Varadkar, the Irish taoiseach, in a private breakfast meeting that she felt it would be impossible to come to a compromise within such a timescale.