Many pro-Brexit Conservatives who had voted against the prime minister's European Union deal backed her in the no-confidence vote to avoid an election that could bring a left-wing Labour government to power.
May said she was "disappointed" that Corbyn had not taken up her offer for a meeting to discuss a way forward after her divorce deal with the European Union was rejected by parliament this week.
But the island nation is still embroiled in numerous same arguments that were raging when voters defied government warnings and voted to leave in a 2016 referendum. ITV News reported that opposition lawmakers were given a paper by the government that contended that staging another Brexit referendum would take a year to organize.
But with no clear majority in Parliament for any single alternative, there's a growing chance that Britain may seek to postpone its departure date while politicians work on a new plan - or even hand the decision back to voters in a new referendum on Britain's European Union membership.
"And I would invite the Prime Minister to confirm now that the Government would not countenance a no-deal Brexit from the European Union."
U.K. Prime Minister Theresa May's compromise Brexit deal was rejected by Parliament.
Theresa May has survived a no confidence vote in her government by 325 to 306.
"What's certain is that the scenario of a no-deal Brexit is less and less unlikely".
On Thursday, May and her ministers began meetings with senior parliamentarians, opposition leaders and chairs of select committees to identify ways in which common ground could be achieved to secure the agreement's passage in Parliament.More news: Broncos expected to hire 49ers QB coach as OC
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Europe, including the United Kingdom, has a dark history when it comes to anti-Semitism.
But Labour's former prime minister Tony Blair said Mr Corbyn was wrong to snub the talks, telling BBC Radio 4's Today: "If, in a moment of national crisis, the Prime Minister asks the Leader of the Opposition to come and talk, of course he should".
Perhaps unsurprisingly given the current political situation in London, a spokesperson for May announced on Thursday evening that the prime minister would not be attending next week's WEF meeting in the Swiss mountain town of Davos.
Briefing reporters, her official spokesman - who goes unnamed according to protocol - promised the talks would be undertaken "in a constructive spirit", but he was also clear that May was not prepared to budge on any of the main issues that led lawmakers to reject her 585-page Brexit withdrawal agreement.
Benn and Cooper both appealed to the PM to rule out no-deal.
Those who advocate for a "softer Brexit", the complete cancellation of Brexit, or a so-called "People's Vote" are doing nothing but disrespecting the voice of the British public and the fundamental sanctity of democracy.
She said: "I stand ready to work with any member of this house to deliver Brexit". The likely outcome of May's Brexit bill defeat is to reduce the risk of a no deal Brexit, since Parliament will now have greater involvement in the Brexit process.
Labour Leader Jeremy Corbyn delivers his speech during the 134th Durham Miners' Gala on July 14, 2018, in Durham, England.
Most of the alternatives mooted by various MPs do nothing to change that, because in practice May's deal does much less than most people assume.