Theresa May's having dinner tonight at the Felsenreitschule, an old theatre in Salzburg well known from the closing scenes in "The Sound of Music".
The prime minister also opted to flat out reject the EU's updated proposals on how to deal with the thorny issue of the Irish border, which also didn't go down well with leaders around the table.
Donald Tusk, the president of the European Council.
Two EU leaders have called for Britain to do the "impossible" and have a have a second Brexit referendum, which has been repeatedly rejected by Prime Minister Theresa May.
But Macron countered, "The Chequers plan can not be take it or leave it".
As she notes: "After Brexit, the border between Northern Ireland and the rest of the island becomes the line between the huge European trading club and a country that's on the outside".
But Mr Tusk dashed any hopes of a reprieve, saying after a working lunch to discuss the UK's plans: "Everybody shared the view that while there are positive elements in the Chequers proposal, the suggested framework for economic co-operation will not work, not least because it is undermining the single market".
Dutch Prime Minister Mark Rutte labelled the Brexit negotiations "a balancing act" and the leaders will have further opportunities to thrash an agreement out when they meet again in Brussels on October 18 and again in mid-November.
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Mrs May said her "Chequers" proposals for trade with the European Union, intended also to resolve arguments on the border of Northern Ireland, were the only way forward.
"Europe isn't an a la carte menu", French President Emmanuel Macron said. Neither side wants an arrangement that would require the rebuilding of border infrastructure, the removal of which was a key part of the Good Friday Agreement that brought peace to Northern Ireland after years of sectarian strife.
At an extraordinary press conference in Salzburg, Mrs May said she still believed a deal was possible, and offered a fresh concession on Northern Ireland - but acknowledged there was "a lot of hard work to be done".
"We need to compromise on both sides", said Tusk, highlighting the importance of the October 18-19 summit in Brussels.
May also said that there was "a lot of hard work to be done", adding that the United Kingdom was also preparing for the eventuality of having to leave the European Union without a deal.
'Those who explain that everything is going to be alright are liars, ' he said. 'The people made their choice and it is our duty to deliver on the result, ' she said.
"Neither side can demand the unacceptable of the other, such as an external customs border between different parts of the United Kingdom - which no other country would accept if they were in the same situation - or the UK seeking the rights of European Union membership without the obligations", she wrote. "Therefore, every day that is left, we must use for talks". When the Conservatives meet for their annual conference on September 30, they plan to push for May to ditch the Chequers plan, or face a challenge to her leadership.