But the divorce deal she negotiated with the European Union has been rejected by Parliament three times, leaving Britain facing a no-deal Brexit that could cause turmoil for people and businesses on both sides of the Channel.
Banners at a pro-Brexit protest in London on 29 March.
Prime Minister Theresa May's so-called divorce deal was defeated by 58 votes in parliament last week.
On April 1, MPs will use the same system to vote on a narrower set of options.
No single plan won a majority in the first round but MPs hope to whittle down the proposals on Monday evening, with voting starting at 8.00 pm (1900 GMT), and another day of debate is scheduled for this Wednesday.
Opponents of Brexit fear it will make Britain poorer and divide the West as it grapples with both the unconventional US presidency of Donald Trump and growing assertiveness from Russian Federation and China.
Mrs May's spin doctor Robbie Gibb and political aide Stephen Parkinson were both pushing her to call an election if she loses a rumoured fourth vote on her Brexit deal, The Sunday Times reported.
Her government has ruled out holding another referendum on Britain's European Union membership, saying voters made their decision to leave the bloc in 2016.
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Witnesses said Israeli soldiers fired tear gas and live gunfire at the demonstrators to keep them from approaching the fence. On the same day, the Israeli army retaliated with strikes on positions of Hamas controlling the sector.
With such high stakes in place, there are now deep concerns among Brexiteer lawmakers that their prize of leaving the European Union might be slipping away from them.
Chief Whip Julian Smith, whose job is to ensure that Conservative legislators vote for government-backed policies, called the public Cabinet squabbling "the "worst example of ill-discipline in British political history".
Britain was no nearer to resolving the chaos surrounding its departure from the European Union after parliament failed on Monday to find a majority of its own for any alternative to Prime Minister Theresa May's divorce deal.
May is considering one last push, pitting her deal against whatever is agreed upon by Parliament, in hopes that holdout Brexiteers would back her deal rather than a softer option.
British Labour leader Jeremy Corbyn on 30 March.
He said: "I'm convinced at that after spending a lot of time meeting with and talking to officials in Europe".
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Election campaigning was highly polarized, with Erdogan and other officials using hostile rhetoric toward opposition candidates. What does this have anything to do with the country's survival?" The pro-Kurdish party is seeking to win back the offices.
The European Parliament's Brexit spokesman Guy Verhofstadt said on Twitter after the vote that a hard Brexit on April 12 had become "nearly inevitable", and "on Wednesday the United Kingdom has a last chance to break the deadlock or face the abyss".
Britain has until April 12 to decide whether it will seek a longer extension of Article 50 from Brussels. Both options would require a long Brexit delay along with Britain's participation in the European Parliament elections, and would split her party.
May's spokesman, James Slack, said the prime minister "believes there is a majority in the House for leaving in an orderly way with a deal", and her agreement was the best on offer. I think we also have to recognise my party does not have the votes to get its manifesto position through the House of Commons at the moment.
FDF chief executive Ian Wright said: "After today's [March 29] vote, Parliament must lead us out of our current shambles".
But Downing Street later said this was not an "inevitability".
Four of the eight new options proposed on Monday were selected by Commons Speaker John Bercow.
Another defeat would spell the end of the agreement, unless she attached the withdrawal agreement to a plan for a softer future relationship.
Thousands gathered outside Parliament to protest against the delay, bringing traffic to a standstill. Campaigning for Remain, Mr Cameron resigned days after the people delivered a vote to leave.
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Mr Gauke said the United Kingdom government can not afford to ignore the will of Parliament if it votes for a "softer" Brexit .