We are bringing today's live page to an end shortly, but before we go, here is a round-up of today's main developments:

• Boris Johnson presented his new Brexit proposals to Parliament and spent almost two hours answering questions
• The DUP offered their support, along with some cautious backing from pro-Leave Tory members
• But opposition parties said the PM knows deal will be rejected by the EU and he was simply trying to shift the blame
• Irish PM Leo Varadkar said the plans "fall short in a number of aspects", and the European Council President Donald Tusk tweeted his support for Ireland
• The European Commission said there were "problematic points" in the UK's proposal and "further work is needed"
• The UK's chief Brexit negotiator is heading to Brussels later to hold talks with the EU team tonight and on Friday
• The government hopes to begin a period of intense negotiations with the aim of reaching a final agreement at an EU summit on 17 October
• Mr Johnson reiterated his pledge that the UK would leave the EU on 31 October, deal or no deal

Thanks for reading!

Labour MP and chair of the Brexit Committee, Hilary Benn, reiterates his call for another EU referendum.

He says the Commons has "made it quite clear" they do not support a no-deal Brexit, but Boris Johnson's plan has too many flaws.

He tells BBC News: "We need to find another way out of this.

"There is a growing number of MPs that recognise the only way to resolve this is to go back to the people - put a deal to them that has been negotiated and the option of remain and say, 'look, we are deadlocked, you need to decide'."

Mr Benn adds: "Three-and-a-half years on, we now know what was offered by the Leave campaign... wasn't true.

"There are choices that need to be made and trade-offs involved here, and the democratic thing to do is that confirmatory referendum.

"This began with the people. We should end it with going back to the people."

BBC News Channel

Mark Francois, Tory MP and deputy chairman of the Brexiteer European Research Group, says the PM has "a fighting chance" of getting his deal through Parliament.

The majority of ERG voted against Theresa May's deal three times and have long had an issue with the Irish backstop.

Mr Francois tells BBC News: "The greatest problem with the original withdrawal agreement was always the so-called backstop because, in a nutshell, it meant we didn't leave the European Union.

"The prime minister's proposal gets rid of the backstop and replaces it with alternative customs arrangements in Northern Ireland."

He says there are still "other issues" with Boris Johnson's plan, "but the absolute crunch issue was always the backstop".

And the key element for him is the support of the offer from the Northern Irish party, the DUP.

"It is not our job in the ERG to be more unionist than the DUP," he says.

"They will be the ones and the people in Northern Ireland most affected by this.

"If they can live with this, we can probably live with it too."

Image source, PA Media

Northern Ireland's Chief Constable tells Boris Johnson he does not have enough officers to police the 300 crossing points of the Irish border.

Simon Byrne says he spoke to the PM via a video link.

"We were face-to-face on a video call for over half an hour," he says.

"It was a very open conversation trying to tell him we saw that it was nigh on impossible to try and police over 300 crossings with the amount of police officers we had.

"It was a candid conversation, he was responsive to what we said and at the end of the day, how it landed and what he thought... you're going to have to ask him."

A group of MEPs say the proposals from the UK "do not address the real issues that need to be resolved" to replace the Irish backstop.

The European Parliament's Brexit Steering Group represents a number of the major groupings in the Parliament.

The Parliament itself has a veto on any Withdrawal Agreement agreed between the EU and UK.

In a statement, the group say they did not find that the "last minute proposals of the UK government... represent a basis for an agreement to which the European Parliament could give consent".

They add: "While we remain open to workable, legally operable and serious solutions, the UK’s proposals fall short and represent a significant movement away from joint commitments and objectives."

BBC News Channel

The SNP's Westminster leader, Ian Blackford, accuses the PM of presenting a "mirage" to the Commons.

He says Boris Johnson is a "Jekyll and Hyde prime minister", due to his more respectful tone when speaking in the House earlier.

"But let's not be fooled," he tells BBC News, claiming Mr Johnson's plan is to "blame the European Union for not negotiating in good faith".

Mr Blackford says he wants the opposition to come together to force Mr Johnson our of power, get an extension to the Brexit deadline and hold a general election.

Image source, Reuters

David Frost - who heads negotiations for the UK - will return to Brussels later.

He will have discussions with his European counterparts this evening and tomorrow.

Image source, AFP/Getty Images

Swedish PM Stefan Löfven says it is possible to get a deal agreed between the UK and EU by the end of October deadline.

He told the press conference, "It is possible of course, or we wouldn't work on it".

He adds: "The EU is right now making the analysis, and there are some question marks raised by President Juncker and [Mr Varadkar].

"We can see the same kind of question marks but this is possible. Let's really make make an effort."

Mr Löfven also said any extension to the Brexit deadline "depends on the reason".

He adds: "What are we waiting for? If an extension [is requested] we will look at the reason."

Leo Varadkar says Ireland's preparations for a no-deal Brexit were "very advanced".

He says a budget would be presented to the Irish parliament next week and it will be "a budget for no-deal".

It will include "built-up resources to respond to any economic shock", such as a package to save businesses "that may be vulnerable but viable".

Leo Varadkar tells the press conference he "cerainly welcomes" the plans from Boris Johnson on Brexit as the EU "now has written proposals" to work on.

However, the Irish PM says they "do fall short in a number of aspects".

He says any consent mechanism in Northern Ireland - the plan to give the Northern Irish Assembly a vote every four years - must be "reflective of the views of whole of the population, and not give any one party a veto".

Mr Varadkar says he was "reassured" by comments made by Mr Johnson that there would be no physical infrastructure at the Irish border - but says it is "in contradiction to the papers presented".

The Irish PM also says the EU "needs to explore in much more detail the customs proposals".

Swedish PM Stefan Löfven and Irish PM Leo Varadkar are holding a joint press conference.

Mr Lofven says it "goes without saying" that a meeting between him and his Irish counterpart focused on Brext.

He said in the long term, they "shared a common interest of a good and deep relationship with the UK".

But in short term, "we need an orderly Brexit which means we must find a solution that can balance protecting single market on the other and be very firm on avoiding a hard border".

He says: "Sweden stands in solidarity with Ireland".