Brexit - as it happened: Corbyn faces Labour rebellions as MPs vote on EU withdrawal bill

Welcome to The Independent's liveblog, where we will be bringing you all the latest from Westminster throughout the day.

Rebel Conservatives have forced Theresa May into a climbdown, handing parliament greater control of Brexit if she fails to seal a deal.

After the prime minister was threatened with what could have been a damaging commons defeat, she promised key concessions in dramatic last minute talks with pro-EU rebels.

It is likely to mean her accepting a deadline by which she must secure a deal with Brussels, if she wants to stay in the driving seat for negotiations.

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Plenty of fallout from last night's dramatic climbdown from the prime minister over the so-called "meaningful vote" amendment to the EU (Withdrawal) Bill.

Pro-EU rebels are taking Theresa May at her word and believe they won a major concession. However David Davis is reportedly deeply unhappy with events and his department issued a sternly worded statement last night, saying it would not allow the government's hands to be tied by parliament.

Solicitor general Robert Buckland told the BBC: "I have a problem, both constitutionally and politically, with the concept of a direction being given by Parliament.

"That's very much the end part of Dominic Grieve's... proposed amendment. I don't think that's the right way for Parliament to conduct itself.

"It's certainly not the right way for the British government to be conducting itself in negotiations.

"Looking at it from the point of view of the Europeans, I think it's very important to remember that we mustn't tie the hands of the Government in these all-important negotiations."

Mr Buckland added: "What we will be doing now is working hard to come up with some ideas.

"It's important, I think, to reiterate the point that was made by David Davis, and others, yesterday, that the concept of directing the Government to do something if there was no deal, I think is not something that is acceptable.

"I think that far too much echoes what the Lords suggested in their amendment.

"It would tie the hands of the Government in a way that I think could make no deal more likely. So, let's not go down that road."

Theresa May has been warned of certain defeat next week if she breaks her “personal” promise to give MPs a decisive say on Brexit, if she has failed to reach a deal by the autumn.

Rebel Tories insisted the prime minister had “conceded” on the crucial issue in crisis talks in her office yesterday – the price for them calling off a revolt, amid dramatic scenes in the Commons.

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The flurry of divisions over the meaningful vote and other issues meant the second section of amendments, which mostly focused on devolution, was reduced to only 15 minutes of debate.

Scottish and Welsh MPs were naturally furious about this and will be seeking extra time today.

MPs have won a concession from the government over the future of the Northern Irish border, ensuring there will be no physical "checks and controls" after Brexit.

In a dramatic day of votes on Theresa May's flagship Brexit bill, a bid to give teeth to the prime minister's promise of "no physical infrastructure" on the border was waved through successfully without a vote.

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One of the key events today will be a possible Labour rebellion on a Lords amendment backing membership of the European Economic Area (EEA).

The Labour leadership is expected to tell MPs to abstain on the amendment - which would effectively keep Britain in the single market.

However Labour's sister party in Northern Ireland - the SDLP - has ramped up the pressure by writing to MPs to urge them to back the EEA bid.

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Here are the MPs who have questions at PMQs this week. 

The UK’s motor industry faces extinction if the UK leaves the EU customs union after Brexit, CBI president Paul Dreschler has warned.

Mr Dreschler told the BBC’s Today programme there was “zero evidence” that trade deals outside the EU would be of any economic benefit to the UK, and said the car industry in particular would suffer without “real frictionless trade” post-Brexit.

More here from our business editor Caitlin Morrison: