British Prime Minister Boris Johnson has said he has made a "genuine attempt to bridge the chasm" to strike a fresh Brexit deal with the European Union.
He told the House of Commons: "This government's objective has always been to leave with a deal and these constructive and reasonable proposals show our seriousness of purpose.
"They do not deliver everything that we would've wished, they do represent a compromise, but to remain a prisoner of existing positions is to become a cause of deadlock rather than breakthrough.
"So we have made a genuine attempt to bridge the chasm, to reconcile the apparently irreconcilable and to go the extra mile as time runs short."
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Mr Johnson said that a Brexit resolution was some way off but that the backstop had to go and the European Union had reacted constructively to his proposals for a new deal.
"While as I stand here today we are some way from a resolution, it is to the credit of our European friends that they have accepted the need to address these issues," Mr Johnson said.
He welcomed the constructive calls he had with Germany's Angela Merkel, Taoiseach Leo Varadkar and Commission President Jean-Claude Juncker.
Mr Johnson said that if a deal was not possible then the United Kingdom would leave without a deal on 31 October.
'Rehashed version of previously rejected proposals'
UK Labour leader Jeremy Corbyn called on the prime minister to publish the full legal text of his plan "given the seriousness of the issue and the vagueness of the proposals so far".
He said the plan amounted to a "rehashed version of previously rejected proposals that put the Good Friday Agreement at risk and would trigger a race to the bottom on rights and protections for workers, consumers and our precious environment".
Mr Corbyn said: "Given the seriousness of this issue and the vagueness of the proposals so far, can the Prime Minister tell this House if and when he plans to publish the full legal text that he must submit to the EU?
"These proposals would lead to an even worse deal than that agreed by the former prime minister."
He added: "No Labour MP could support such a reckless deal that will be used as a springboard to attack rights and standards in this country."
Mr Corbyn said the latest effort to secure a Brexit deal would berejected by the European Union and by parliament.
"The proposals are unrealistic and damaging, and will, as Ithink the prime minister full well knows, be rejected inBrussels, rejected in this House and rejected across thiscountry," Mr Corbyn said.
Mr Johnson also said: "I do not for one moment resile from the fact that we have shown great flexibility in the interests of reaching an accommodation with our European friends and achieving the resolution for which we all yearn.
"If our European neighbours choose not to show a corresponding willingness to reach a deal then we shall have to leave on October 31 without an agreement and we are ready to do so."
Majority in Northern Ireland will be 'extremely concerned' by proposals
Independent MP for North Down Sylvia Hermon said: "The prime minister's proposals prove quite clearly that he does not understand Northern Ireland.
"While the prime minister is perfectly happy, it seems, to dance to the tune of his friends in the Democratic Unionist Party, he forgets or chooses to ignore the fact that the DUP does not represent the majority of people in Northern Ireland.
"The DUP campaigned for leave, along with (Mr Johnson), but the majority of people in Northern Ireland voted remain.
"The majority of people in Northern Ireland will be extremely concerned by the proposals that he has tabled yesterday, which introduce two borders in Northern Ireland."
She added people in Northern Ireland "certainly do not want" the UK to leave the EU without a deal, adding: "What people in Northern Ireland really want, all of them, is to continue to enjoy the peace and stability delivered by the Belfast Good Friday Agreement."
Mr Johnson offered to meet Lady Hermon, insisting the UK Government wants to abide by every clause and principle of the Good Friday Agreement.
Proposals are 'unacceptable', 'unworkable', 'undeliverable' - SNP
The Scottish National Party's Westminster Leader Ian Blackford said Mr Johnson's proposals are unacceptable to Scotland.
Mr Blackford said: "I want to be very clear with the prime minister from the outset. These proposals are unacceptable, they are unworkable, they are undeliverable, and it's all about blaming someone else - in this case the European Union when the plan was rejected.
"Mr Speaker, it is a plan designed to fail, but of course, the prime minister knows that. By his own desire this take-it-or-leave-it threat is yet another push towards a catastrophic no-deal Brexit."
Mr Blackford continued: "The Prime Minister may have bought the consent of the DUP with these proposals, but every other political party in Northern Ireland, and every other major business group are not buying it."
He added: "He will never have the consent of Scotland."
He concluded: "The SNP will do everything possible to secure an extension and to stop a no-deal Brexit, so I say to the Prime Minister, be warned, secure an extension or resign, if not the SNP stand ready to bring this Government down."
Black Swan document not 'enormously valuable' says Rees-Mogg
Meanwhile, Jacob Rees-Mogg has said he is not sure that allowing MPs to see documents outlining the worst-case scenario of a no-deal Brexit would be enormously valuable.
Labour MP Marie Rimmer asked Mr Rees-Mogg: "Will the Leader of this House advise this chamber when the Government intends to share with this House its Black Swan scenario for a no-deal Brexit, and secondly, have the Business and Health Secretaries been advised accordingly?"
Black Swan is the alleged "worst-case scenario" documents surrounding a no-deal Brexit.
Mr Rees-Mogg replied: "The Government will produce information in the normal way to ensure that people are properly informed of what is going on.
"The thing to bear in mind is that an enormous amount of preparations are being made in the event that we leave with no deal, and that the problems therefore are being worked through and sorted out to minimise anything that could happen.
"And therefore I'm not sure producing a Black Swan document would be enormously valuable."