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BBC assistant political editor Norman Smith suggests Mrs May's decision to send No 10 Chief of Staff Gavin Barwell to brief opposition MPs indicates she has decided that getting the plans through parliament is "the right thing to do for the country".

It appears that "if that means really testing the bounds of unity and keeping her party together, she's prepared to risk that".

Labour's Ben Bradshaw, who was at the meeting with Mr Barwell, describes it as "extraordinary".

"I've never been briefed by a deputy prime minister (sic), pleading with us Labour MPs to save the government - and I don't think we will," he says.

"She should have reached out two years ago for cross-party consensus."

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Conservative MP Jeremy Lefroy defends the government's record, arguing that David Davis and his team "made considerable progress" before his resignation on Sunday night.

"There have been fundamental differences to get through," he says. "The point about whether the European Union is going to accept what's put forward is a very important one."

He accuses EU negotiators of being "pretty obdurate" in the past, adding: "It's in the best interests of the European Union now to engage fully in this process in a way I don't think they have done up until now."

Minister without portfolio Brandon Lewis, Northern Ireland Secretary Karen Bradley and immigration minister Caroline Noakes arrive at Number 10 for the first meeting of the newly-formed cabinet.

Newly-appointed Foreign Secretary Jeremy Hunt tells reporters he will "absolutely" hold firm on Theresa May's Brexit plan.

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Layla Moran points out that it's unclear whether the EU will agree to the government's Brexit plans.

"This should have been where we started two years ago. It should not have taken two years for the Tory party to sort itself out," she says. "It's a complete mess."

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Taking part in a Brexit debate, Labour MP Ben Bradshaw says he doesn't think the prime minister's Brexit plan - as agreed by the cabinet on Friday - will survive in its current form.

"I don't think it can win a majority in Parliament," he says, adding that she is likely to have to compromise further once negotiations get under way with Brussels.

The only way the matter can be settled is either through a general election or by putting the final deal to the public, he says.

Former defence secretary Sir Michael Fallon is another who thinks Theresa May is unlikely to face a leadership challenge.

"Colleagues should think very, very carefully about that. That's the last thing we need at the moment," he tells the BBC.

"There is now an agreed plan on the way forward."

Sir Michael was dismissive of Boris Johnson's parting shot as foreign secretary - that the Brexit dream was dying - saying: "He uses this phrase 'the dream is over'... dreaming is good, probably for all of us, but we have to deal with the real world."

Justice Secretary David Gauke says the cabinet should support the prime minister.

After enduring a tumultuous start to the week, Theresa May is now chairing the first meeting of her hastily reshuffled cabinet.

Jeremy Hunt was named foreign secretary late on Monday, with Matt Hancock replacing him as health secretary.

She's warned ministers that they must back the government's collective position, agreed at last Friday's Chequers away day.

It's the last time she'll have her senior team in one room ahead of the publication of the government's Brexit White Paper on Thursday.

Read more about what will be in the White Paper.

Today Programme
BBC Radio 4

Scotland's First Minister Nicola Sturgeon says her Scottish National Party MPs will continue to argue for closer ties to the European Union which - she argues - would have greater cross-party support than the prime minister's plans.

"The thing that has the most chance of commanding a majority is single market and customs union membership," she says.

"I'm not going to have my party vote for something I know would be damaging - more damaging than necessary - for the Scottish economy. We will continue to argue for the compromise we think is right and stand up for common sense."

International trade secretary Liam Fox, a prominent Brexiteer, is spotted heading to the cabinet meeting by Sky News' political correspondent.

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BBC Radio 4

Justice Secretary David Gauke says compromise from both sides is needed if an agreement is to be reached which is in the best interests of the UK and the best interest of the EU 27.

He warned against a no deal option, saying: "What I would say to those of my colleagues ... if there are some who think this is pain free and this is just something that we can ride over very easily, is no deal will have a negative impact on our constituents, on the British public.

"It is not an attractive option at all, which is why we should try to move these negotiations forward.

"But, of course, one cannot rule that out at this stage and we have to be prepared for it."

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BBC Radio 4

Labour's Tom Watson has a dig at Boris Johnson for the way he handled his resignation, with a reference to hit reality show, Love Island.

"Look at that guy Boris Johnson, he's got a career ahead of him on 'Love Yourself Island', I think.

"He's the only politician in history who posed to sign his own resignation letter," he adds.

Image source, Andrew Parsons/i-Images

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BBC Radio 4

Labour deputy leader Tom Watson says a new referendum is "highly unlikely" but Labour has not taken the option off the table.

"It is conceivable that there is no majority position for any deal in the current arrangements in Parliament.

"So, even though we'd prefer a meaningful vote in Parliament, and I have said many, many times it's highly, highly, highly unlikely we will support a people's vote, and we have not called for it, we haven't taken that off the table because there are a rare set of circumstances where Parliament just can't make a decision on it, and in those circumstances you'd keep your options open.

"But ... it's highly, highly unlikely we'll go down that route."

Laura Kuenssberg
BBC political editor

Image source, PA

From watching the images of Boris Johnson leave his official residence for the last time, where he'd been holed up all day, he wore it heavily.

No bellowed "hello" for the patient snappers.

Leaving alongside his wife Marina Wheeler he looked not just a bit dishevelled, which is not exactly unusual, but pretty battered by events.

It is not clear at all from his friends what his plan is next, or if he even has one.

This time he has resigned, but when weighing up his options might think of his own words when he was booted out by Michael Howard years ago - "My friends, as I have discovered myself, there are no disasters, only opportunities. And, indeed, opportunities for fresh disasters."

More importantly, is the prime minister looking at opportunity, or disaster?

Read more from Laura here.

Many of the front page headlines feature Boris Johnson's warning in his resignation letter that the Brexit "dream is dying".

The Daily Express, external says he delivered a damning verdict, leaving the prime minister reeling.

The Daily Telegraph, external believes Mr Johnson plunged her leadership into crisis - and inflicted a brutal blow to her authority.

The Guardian, external sees the prospect of Tory MPs holding a vote of confidence as clearly real, but believes she has faced down the rebels - for now. The Daily Mail reports that Downing Street is braced for a leadership contest.

The Daily Mirror, external accuses Boris Johnson of declaring war on Mrs May, and tells how he is being tipped to launch a leadership bid.

But the website, Huffpost UK,, external is doubtful about his chances, saying his popularity has plunged among the public, Conservative members, and crucially among the party's MPs - meaning he lacks the support needed to get onto the ballot paper for a leadership contest.

See all the front pages here.

Today Programme
BBC Radio 4

Former Conservative leader Michael Howard says he supports Theresa May and calls for a “degree of humility all around”.

“I do think it would be extremely foolish and extremely ill-advised for anyone to send in letters to mount a motion of no confidence in the prime minister and I am delighted that good sense seems to be breaking out.”

He acknowledges that Brexit continues to be a “divisive” issue and there would be “very deep unhappiness” from pro-Leave campaigners were any more concessions to be made.

But Lord Howard says he does not think there is “any prospect” of Mrs May abandoning the plan.

“Boris puts things in his own inimitable way… [but] I don’t believe the Brexit dream is dying and there is much water to run through many bridges before we can arrive at that rather gloomy conclusion,” he says.

Image source, Getty Images

Another of the new appointments is Geoffrey Cox, who will replace Jeremy Wright as attorney general and will attend cabinet.

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BBC Radio 4

Labour MP and Remainer Chuka Umunna says all the drama of Monday needs to be put to one side.

“This has gone from a soap opera to a comedy, and it would be funny were it not for the fact that the subject matter is going to have a fundamental impact on hundreds of thousands of people’s jobs.

“So although Westminster was convulsed and there was breathless commentary on the ins and outs of who was resigning and who wasn’t, those were three men’s jobs we were talking about yesterday – ultimately this is going to impact on millions of people.”

Today Programme
BBC Radio 4

The BBC's assistant political editor Norman Smith considers the chances of a bid to oust Mrs May.

"There is a genuine weariness [and] horror at the thought of more disruption, turmoil and a possible leadership contest," he says.

"Above all, I just don't think one should underestimate Mrs May's sheer bloody-minded durability - you look around her cabinet table and there are bodies littered all over the place and she is still there.

"Yes, her position is extraordinarily fragile and vulnerable, but it is far from game over."