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Main story: May pushes for cross-party consensus | How did my MP vote? | What happens now? | Alternative ways to break Brexit deadlock | Kuenssberg: Can May bring her critics on board? | Are we running out of time?
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Paul Gribben, Dulcie Lee and Becky Morton
All times stated are UK
Newspapers in Hungary: Brexit crisis is "tragicomedy"
BBC Monitoring
According to BBC Monitoring, the press in Hungary have described Theresa May winning the no-confidence vote in Parliament a day after a crushing defeat of her Brexit deal as a "tragicomedy".
But at the same time, Mrs May was praised in the newspaper Magyar Idok as the only defender of the will of the British people, while Heti Vilaggazdasag praised Theresa May's perseverance.
Germany 'stepping up Brexit preparations'
The German foreign minister Heiko Maas has said Germany will step up its preparations for any disorderly Brexit, according to Reuters.
He added: "In the coming days and weeks, we will do everything we can so that Britain exits with and not without an agreement."
DUP outside Number 10: PM in "listening mode"
Prime Minister Theresa May is in "listening mode" and there is optimism that a Brexit deal can still be reached, the DUP has said after meeting the PM on Thursday morning.
Party leader Arlene Foster and her deputy Nigel Dodds spoke with Mrs May, who is holding talks with parties from across parliament as she seeks to reach a consensus on Brexit.
Mr Dodds said engagement with Mrs May had been "good" and talks would continue.
Mrs Foster said the DUP did not want to provide a running commentary on the issue but believed the party had made a "clear ask" in relation to its concerns around the Irish border backstop.
"She has a way through this... address the backstop in a satisfactory way," added Mr Dodds.
What could the question be in any new referendum?
BBC Radio 5 live
Guto Bebb is one of the Conservative MPs supporting the "Right to Vote" campaign which is calling for another EU referendum.
Asked on BBC Radio 5 Live earlier what he'd like the question to be in any new referendum, he says it would be a choice between whatever Parliament's final option is for Brexit, and to remain.
MP with claustrophobia wants changes to how politicians vote
Scottish National Party MP Marion Fellows says she has previously received treatment for claustrophobia.
On Tuesday night, during the Brexit vote, she describes how she had to be helped by a colleague after feeling "very uncomfortable".
She is now "pleading" for a debate on the health and safety issues of how MPs vote.
How many days left until Brexit?
The prime minister has said she is willing to meet MPs from all parties in order to get a Bexit deal - but how long does she actually have?
Jeremy Corbyn sets out conditions for talks with PM
BBC's political correspondent tweets...
How does the MP voting system work?
Laura Kuenssberg
BBC political editor
More Tory MPs arrive at Cabinet Office
Conservative MPs Nicky Morgan and Andrew Mitchell have also been seen arriving at the Cabinet Office on Thursday morning.
Ms Morgan - who supported Remain in the EU referendum - is chair of the Treasury select committee and voted for Theresa May's Brexit deal this week.
Mr Mitchell also voted Remain, but chose to rebel and vote against Mrs May's Brexit deal.
Environment secretary wants farming 'customs arrangement'
Environment Secretary Michael Gove wants a "customs arrangement" for farmers after Brexit, according to environment minister George Eustice.
Mr Eustice stood in for Mr Gove - who was in Number 10 discussing Brexit - in the House of Commons on Thursday morning.
Labour MP David Drew raised the issue, saying: "The Irish Farmers Association made it very clear to me how vital it is to get a long-term customs arrangement in place as soon as possible and they say that's shared by farmers in Northern Ireland."
In response, Mr Eustice said Mr Gove is speaking with opposition parties "to establish a consensus so we can indeed have a customs arrangement after March".
Corbyn quizzed about new referendum
Quizzed about a new referendum, Mr Corbyn said: "The question of another referendum is on the table."
He says Labour "are running though a sequence of events".
The first event was to vote down Mrs May's deal, which has been done.
The second was the motion of no confidence, which failed.
Mr Corbyn then states he would still like a general election.
If that fails then he says a referendum is possible but it "cannot be a re-run" of the 2016 vote.
"There has to be a discussion about the options we put forward," he says.
Liberal Democrats arrive in Whitehall
The Liberal Democrat's Brexit spokesman, Tom Brake, and the party's chief whip, Alistair Carmichael, are in Westminster.
Both voted against Mrs May's Brexit deal on Tuesday, and then supported the motion of no-confidence in the government on Wednesday.
Theresa May has been speaking to ministers, senior Tories and MPs from other parties this morning to determine her plan B for Brexit.
Corbyn: Labour 'sensible, serious and positive' about its plan
Mr Corbyn finishes by saying he is "sensible, serious and positive" about Labour's Brexit plan, which, he adds, he is happy to talk to Mrs May about (as long as she rules out no deal).
Finally, he says he wants to "bring people together" and live in a country that does not rely on "food banks, on pay-day loans".
Leave Means Leave co-chair: No-deal will be great for UK
The co-chair of Leave Means Leave, Richard Tice, speaks on BBC Radio 5 Live.
What does the DUP want from Brexit talks?
Jayne McCormack
BBC News NI
On Wednesday, the Democratic Unionist Party (DUP) supported the government in a no-confidence vote.
But just a day before, its 10 MPs voted against Theresa May's Brexit plan, which led to the biggest government defeat in modern times.
How should we read the party's actions?
Read more here.
Corbyn: Labour could back new referendum
Mr Corbyn says that "if the government remains intransigent", it does not call a general election or does not design a deal Labour can support, then it is time to look at other options.
Those options, he says, include "that of a public vote".
However, he makes clear a new referendum should be seen as a last resort.
Corbyn: May should call new general election
Mr Corbyn has now suggested Theresa May should call a general election.
"We have a government in name only," he says.
"If the government had any confidence in itself, it would go back to the people for a new mandate."
He adds that an election is the only way to "find a solution that works for the whole country".
MPs leave Cabinet Office
Conservative MPs including Owen Paterson, Theresa Villiers, David Davis, Steve Baker, Mark Francois and Iain Duncan Smith left the Cabinet Office shortly after 11 this morning.
They declined to answer any questions from the waiting media.
Corbyn: 'Take no deal off the table'
Mr Corbyn continues by saying the PM's offer of talks last night were a "stunt".
"I will say again I'm quite happy to talk - but the starting point is that the threat of a disastrous no deal outcome is taken off the table."
He adds: "Take no deal off the table now please, prime minister."
If she doesn't, he says, it will show "she isn't serious" about getting a Brexit deal through the Commons.
Corbyn: PM 'unable to grasp what is happening'
Addressing a crowd in Hastings, Mr Corbyn begins by saying it is "really great" to be there and that Labour plans to "stop, challenge and change" the way south coast towns are run.
On Brexit, he starts by getting the day of the debate wrong, suggesting it took place yesterday, rather than the day before.
He goes on to describe her deal as "dead".
"We have to realise the prime minister is completely unable to grasp what is happening," he says.