Mr Corbyn is under pressure from some in his party not to agree a Brexit deal without ensuring that it can be confirmed or rejected in a new referendum that also offers the option to stay in the EU.
"I profoundly disagree with this approach".
In a hastily arranged statement from her Downing Street office after spending more then seven hours chairing crisis Cabinet meetings on how to plot a way out of the Brexit maze, May said she was seeking a further extension to Brexit.
Letwin is the architect of the backbench takeover of the House of Commons for Brexit business which has so far resulted in not a single soft-Brexit option being supported despite the lower house of Parliament being massively overrepresented by Europhiles.
"The Prime Minister's deal won't go through and no deal in law is taken off the table, then the effect of that is either a soft Brexit or no Brexit at all".
A group of MPs - including Conservative grandee Sir Oliver Letwin and Labour's Yvette Cooper - aim to fully pass a Bill through the Commons on Wednesday to stop the United Kingdom crashing out of the EU.
The prime minister's new strategy follows months of political gridlock over Britain's withdrawal from the European Union. The leader of the left-of-center Labour Party says "we recognize that she has made a move" and is willing to hold talks with May.
In a move that has caused some surprise among Conservatives, the Prime Minister said it was time for national unity to help resolve the stalemate over Brexit.
In the days before a war, a common theme is that everyone agrees war will not break out because that would be insane and no one wants it to happen.
Russia's richest women killed in Germany plane crash
Natalia was killed after her plane came down at Egelsbach airport near Frankfurt, German authorities are quoted as saying. Natalia's former company said: "The S7 Group holding team expresses deepest condolences to the family and friends".
But Barnier said in Brussels on Tuesday, "if the U.K. Still wants to leave the European Union in an orderly manner", Theresa May's deal "is, and will be the only one". I don't want to set any limits, one way or the other, ahead of those meetings.
"Any plan would have to agree the current withdrawal agreement".
"The country is demanding that politicians work together and we have got to bury our worries about economic vandalism and the freaky, extremist views that he and those around him have to find a solution to this problem".
"There will need to be compromise on all sides", he said.
Eurosceptic Tories were furious at the developments, with Jacob Rees-Mogg describing the offer to Mr Corbyn as "deeply unsatisfactory" and accusing Mrs May of planning to collaborate with "a known Marxist", while former foreign secretary Boris Johnson said he was disappointed.
The Democratic Unionists have accused Theresa May of sub-contracting out the future of Brexit to the Labour Party. "The bottom line is still clear - the Good Friday agreement and frictionless border needs to be protected", said Eastwood.
Faversham and Kent MP Helen Whately, who is also a vice chairman of the Conservative Party, said: "I feel his frustration".
British Conservative lawmaker Oliver Letwin said on Wednesday that legislation he hopes to pass to force Prime Minister Theresa May to seek a delay to Brexit will give her backing in her request to the European Union.