But those measures failed - leaving her hope this time to dangle a bauble to each of Parliament's different Brexit tribes in the much more extensive plan of how she'd actually put our departure into law.
"I recognise the genuine and honest strength of feeling across the House on this important issue", May said.
The Prime Minister Theresa May has set out a 10-point compromise package ahead of what she indicated would be her final attempt to secure approval for a deal which has already been rejected three times by MPs.
Sterling traders have long feared a no-deal Brexit, which the Bank of England has said could cause the pound to drop 25 per cent to parity with the U.S. dollar.
May concluded the letter by appealing to the lawmakers to "look at a new and improved deal with fresh pairs of eyes" and back it.
It will also will oblige the government to keep trade in goods with the European Union as frictionless as possible.
But most of her concessions were aimed at the left-of-centre opposition Labour Party.
Britain voted for Brexit in June 2016 and was due to leave the European Union on March 29, but the bloc has extended the deadline until October 31 amid the U.K.'s political impasse.
In a speech to the CBI, the U.K.'s premier business organization, on Wednesday, he will likely say that populism "is the ideology of easy answers" and that no Brexit solution is sustainable unless it commands a parliamentary majority, according to a person familiar with the speech.
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In her statement, Mrs May said the new Brexit deal will seek to conclude alternative arrangements for the Irish backstop by December 2020.
Brexiteer Boris Johnson, a pivotal figure in the 2016 referendum campaign, is the current favourite to replace May, and polls show he would win a vote among party members.
"This must take place before the Withdrawal Agreement can be ratified".
The victor of a leadership contest will automatically become prime minister and will take control of the Brexit process, which has plunged Britain into its worst political crisis since World War Two.
Brexit secretary Stephen Barclay urged his colleagues to "face facts" and rally behind the prime minister when she brings her Withdrawal Agreement Bill to parliament next week.
He said: "I supported Labour my whole life but could never vote for them with a pro-Brexit buffoon as leader".
"She can not realistically expect to see this get through [parliament] without fundamental changes and we are not going to see fundamental changes, from everything I hear", she said.
Tory Brexiteers responded angrily to the PM's new plan.
Leaving the European Union without a deal is seen as a worst-case scenario by most businesses, with the rules and processes that make British trade with the continent virtually seamless potentially abandoned overnight.
With the Labour frontbench still opposed to the legislation, May would need dozens of backbench opposition MPs to change their vote.