Juergen Maier, chief executive of Siemens in the UK, is one of the delegates at the CBI conference backing Theresa May's Brexit plan. He contrasts the mood from last year's meeting

"It feels for the first time since we started the negotiations that we have an end game in sight. I remember being here last year and everything was incredibly uncertain where as we do now have the possibility of some certainty.

"The mood here is much more positive because what business like is certainty. There's almost a sense of relief in the room here".

BBC Politics Live
BBC2's lunchtime political programme

Chair of the Conservative Policy Commission Chris Skidmore said his party should back the deal.

He told BBC Two's Politics Live: "I personally feel that when it comes to leaving the European Union, we have got a duty to make sure we can create a process that is stable, that ensures supply lines remain in place for companies... it is right that we have these plans in place.

"We have 130 days to go. Having spent two years putting together a withdrawal agreement deal we should take the deal that is on the table.

"I thought there was never going to be a deal. This is a welcome announcement that has been made here and the EU have actually made compromises."

BBC News Channel

Conservative MP and pro-Remain campaigner Sarah Wollaston said it was "time to end the circus of the leadership challenge".

She called on those saying they were submitting letters of no confidence in the prime minister to stop, "as it is just adding to the uncertainty".

She added: "There is no way that a leadership challenge is going to be successful, so they should really stop this now and we should move on.

"What we do have now is an actual deal on the table. It is just 130 days until we run out of road and we could end up crashing out with no deal at all."

BBC News Channel

The BBC's Europe correspondent Kevin Connolly said EU leaders were watching the events in the UK very closely.

He said: "They are keenly aware of the politics of Westminster, they are keenly aware of the parliamentary arithmetic.

"But of course, they are also keenly aware there is nothing they can really say out loud in public that would be of very much help to Theresa May."

He said the EU's chief negotiator, Michel Barneir, was "a bit lighter of heart" during his press conference earlier though, and said he "what he could" to push the deal.

Jill Treanor
Business reporter, BBC News

One of the stands at the CBI conference is by IT company Ricoh. Steve Walters, corporate sales director, says the biggest impact of Brexit is businesses "doing nothing".

"It's the indesiveness. It's an element if doubt," he says.

It has become more acute in the last eight months, he adds.

Jill Treanor
Business reporter, BBC News

Mrs May says at the core of the new immigration deal is skilled-worker base.

She calls for one last question. It's from the Daily Mail which asks about an extension to the transition period floated by Michel Barnier.

Mrs May replies that from her point of view it would be best to be out of the implementation phase before the next general election.

And with that it's over. Carolyn Fairbairn thanks her for her "grit and determination".

And with that Theresa May leaves the hall at the CBI and the stage is taken by the UK country head of LinkedIn, Josh Graff, who does not have an easy gig.

He is talking about migration into the UK falling since the referendum.

Norman Smith
Assistant political editor

The BBC's assistant political editor Normal Smith said the speech gave a good sense of how Mrs May wants to move forward, "stopping talking about the divorce deal where there is huge controversy and moving the narrative onto future political and trading ties".

He told the BBC News channel: "May says look at the political declaration. That includes all the things people were genuinely exercised about, such as immigration.

"It brings to an end freedom of movement, it stops the oversight of the European court, all those big big issues are contained in that."

But he also thought she was sending a message to the Tory backbench Brexiteers.

"There was one point where it seemed to me that she was trying to address those Brexiteers in her own party - when she said this is not about political theory, this is about real people's lives.

"I think that is an argument we are going to hear again and again. I understand you have concerns but think about the jobs of your constituents."

Adam Fleming
Brussels reporter

Michel Barnier has gone from finger-wagger extraordinaire to salesman-in-chief.

His remarks about the withdrawal agreement could have been scripted by the British government to help sell the deal.

He said it was a fair compromise, that the EU had moved towards the British position on the Irish backstop, and, by the way, it won’t even be needed because we are going to have a deep and special relationship.

His call for people to keep calm sounds like it was aimed at the Brexiteer backbenchers who are trying to torpedo the whole package.

But it may also have been a message to the EU members states not to rock the boat at this last stage - particularly Spain which is kicking up a fuss about how Brexit affects the status of Gibraltar.

Asked by the BBC's political editor Laura Kuenssberg why people should believe she has struck the right compromise when some of her colleagues are trying to oust her, Mrs May said don't just listen to politicians - listen to businesses.

"They are providing your jobs, your income and putting food on the table for your families... and they are saying they want a good trading relationship," said the PM.

She said she wants to deliver on the Brexit vote, such as ending free movement, and the deal delivers on that.

"But we want to maintain a good trading relationship so jobs are kept here in the UK and people's livelihoods are protected," she added.

Theresa May concluded her speech by going back to Brexit.

She said: "It was never going to be easy or straight forward. And the final stage was always going to be the toughest.

"But let no one be in any doubt... I am determined to deliver it."

She received a long round of applause from the audience before the session moves on to questions.