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Jeremy Corbyn has agreed to 11th hour talks with Theresa May in a bid to head off a catastrophic No Deal Brexit .

The Mirror can reveal he will sit down with the Prime Minister on Monday ahead of her third attempt to get her deal through the Commons.

In an exclusive interview, the Labour leader said: “We’re the responsible party here. We’re not running down the clock, we’re looking for solutions”.

But Mr Corbyn revealed the only way Labour would back the PM’s deal was if she agreed to move towards a softer Brexit.

“If she could say she’s prepared to understand what we’re saying, the points we’re making about the future - customs union, dynamic relationship with Europe - then we will be able to talk to her about that,” he said.

“She’s got to move forward on how things can change.”

After talks in Brussels, Mr Corbyn warned that Left-wing EU leaders were “frustrated” with Mrs May’s handling of Brexit and “anxious” about the UK crashing out by accident.

“It’s a very real threat obviously and it’s made worse by the PM prevaricating,” he said.

“I’m very clear where the responsibility lies for where we’ve got to. I feel very, very worried indeed.”

(Image: Ian Vogler)

But the Labour leader was hopeful that a cross-party group of MPs would agree a Norway Plus-style alternative this week if Mrs May’s plan is defeated again, to prevent a No Deal.

“I think Parliament will come to an agreement next week to stop that happening and we will do everything we can to help them,” he said.

“The dangers of a chaotic exit are huge, on supplies, investment, jobs and everything else.”

Labour will support MPs getting a say over the way forward on Brexit on Monday.

The party will then back a cross-party amendment focused on the UK’s future trading relationship with the EU, as well as workers’ rights.

But it remains unclear whether there is a consensus in Parliament around a softer Brexit.

The smaller opposition parties, including the SNP and the Lib Dems, are opposed to leaving the EU in any form and want a second referendum instead.

But Tory Remainers working on a different way forward are opposed to a public vote.

Mr Corbyn insisted: “I do believe that we can get there”.

(Image: Ian Vogler)

He claimed his fellow leaders “get it” that Brexit is happening irrespective and “fully understand” the dangers of No Deal.

And he said that Labour, which officially has kept a second referendum on the table despite Mr Corbyn’s private misgivings, would “certainly do our best to meet them” on a fresh vote.

The Labour leader admitted striking a balance between referendum-supporting Labour MPs and members, and Leave voters who backed the party at the last election, was sometimes difficult.

“I realise the tensions and I realise the pressures. My purpose is to prevent No Deal, to bring people together and keep the Labour Party together,” he said.

“Of course it’s complicated but we weren’t sent into this life to have an easy time.”

(Image: Ian Vogler)

He defended his decision to boycott a cross-party meeting convened by the PM because former Labour MP Chuka Umunna was there to represent the Independent group.

Mrs May had earlier offered him a one-on-one but the No 10 talks had ended up “pretty chaotic”.

He said: “I’ll be meeting her one Monday morning. I think it’s correct that the Leader of the Opposition should have an opportunity to meet the Prime Minister.”

Mr Corbyn revealed that nothing keeps him awake at night - even Brexit.

“I’m a very good sleeper,” he said. “At the end of the day I listen to a bit of music and I read a book.”

He admitted concerns over the PM’s No 10 statement that blamed “indulgent” MPs for the chaos.

“Children over-indulge themselves eating jellies at a birthday party. Parliament’s job is to hold Government to account... that’s what MPs are elected to do,” he said.

“The fact that Parliament has comprehensively disagreed with her on many occasions doesn’t mean Parliament isn’t doing its job, it means it’s saying that what she’s proposing is unacceptable.”

He agreed with some Labour MPs who have claimed the PM’s words had increased the risk of threats.

Conceding that the approach was almost like Donald Trump, he added: “I don’t want to bring him into it, but yes, it’s this idea that you just attack somebody as having somehow or other bad motives when they’re making a political view known because they know her deal is not good.”