Jeremy Corbyn says he is "very happy" to meet Theresa May for Brexit talks.
It comes after the desperate PM offered to sit down with him to agree a plan which allows the UK to leave the EU with a deal.
Mr Corbyn said: “We will meet the Prime Minister.
“We recognise that she has made a move, I recognise my responsibility to represent the people that supported Labour in the last election and the people who didn’t support Labour but nevertheless want certainty and security for their own future and that’s the basis on which we will meet her and we will have those discussions.”
But Mrs May risked losing votes from her own side.
Brexit: Theresa May's statement in full as she asks EU for yet ANOTHER delay
Boris Johnson said: “It is very disappointing that the Cabinet has decided to entrust the final handling of Brexit to Jeremy Corbyn and the Labour Party.
“It now seems all too likely that British trade policy and key law making powers will be handed over to Brussels, with no say for the UK.”
Conservative former Whip Mike Fabricant posted: “PM says she will negotiate with Labour. If this leads to their Customs Union or 2nd Referendum, I WILL NOT VOTE FOR the Withdrawal Agreement 4th time round.”
Theresa May will 'open negotiations with Jeremy Corbyn' to break Brexit deadlock
People’s Vote campaigners feared their plan for another referendum would be derailed.
Former Tory MP Anna Soubry tweeted: “So PM isn’t budging on the Withdrawal Agreement & wants to work with @jeremycorbyn to facilitate #Brexit. .. That’s it after 7 hours.”
In her statement earlier, Mrs May said: "Today I am taking action to break the logjam."
She continued saying she is "offering to sit down with the Leader of the Opposition" to work together on a Brexit plan.
6 things you need to know as Theresa May asks Corbyn to save her Brexit plans
If the pair could not agree a deal she said would put a series of options to Parliament - but only if Labour agreed to be bound by the deal.
