To dispel the Tory infighting on Tuesday, May is expected to ask MPs to vote to start the parliament's summer recess on Thursday, five days before the expected end to the political season.
Remain MPs were left furious last night after four amendments to a tax bill, tabled by hard-line Brexit lobby group European Research Group, were backed by Mrs May. The House of Commons defeated the measure by a mere six votes, 307-301.
Labour Brexiteers Frank Field, Kate Hoey, John Mann and Graham Stringer - along with independent Kelvin Hopkins - voted with the Government.
The backlash has seen the prime minister face persistent rumours Tory MPs are planning to topple her. I know how important the pair is to everyone, especially new parents, and I apologise.
Parliament voted 307 to 301 against an amendment to trade legislation that would have required the government to try to negotiate a customs union arrangement with the EU if, by January 21, 2019, it had failed to negotiate a frictionless free trade deal with the bloc.
Mrs May won the vote on the amendments by just three votes, with opposition from Labour and pro-Brussels Tory MPs, and now her government is rushing to send MPs away from Parliament, it is claimed, as rumours of a potential revolt or leadership challenge build.
The latest key vote was on customs, with a debate sparked by Tory MP Stephen Hammond's amendment to the Trade Bill.
May's government is defeated on an amendment committing the United Kingdom to retaining European Union regulations on medicines.
The votes were preceded by frantic activity in the Commons, with live negotiations conducted on the floor of the chamber as Government whips led by Julian Smith made approaches to rebel MPs. The bill now moves on to the House of Lords.
A relieved International Trade Secretary Liam Fox described the trade plan as "the confident first step that the United Kingdom takes towards establishing itself as an independent trading nation for the first time in over 40 years".
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It covers a third of the global economy and markets of more than 600 million people. Following the signing ceremony, they will seek parliamentary ratification.
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"Each day that Ministers waste arguing among themselves increases the risk of the United Kingdom crashing out of Europe without an agreement".
These make it extremely difficult for the United Kingdom to negotiate a viable solution for avoiding a hard border on the island on Ireland, where the EU's new external border should be after Brexit, and to which May committed to keeping it open.
May has vowed to stick to her plan to negotiate the closest possible trade ties with the European Union, saying her strategy is the only one that can meet the government's aims for Brexit, the biggest shift in Britain's foreign and trade policy for decades.
But the ball is back in Remainers' court tonight as they will seek to vote through a amendment guaranteeing the government negotiates involvement in a customs union with the EU.
British voters in a June 2016 referendum chose to leave the European Union, and on Tuesday Britain's official Brexit campaign, Vote Leave, was fined and reported to the police for breaking spending rules - another issue boosting calls for a second vote.
The spokesman said Mrs May was "very clear that the proposal we put forward at Chequers delivers on the will of the people in the referendum".
"The passing of this deeply flawed bill can't mask the profound splits at the heart of the Tory party", said Mr Brake.
In his initial response to the white paper, Mr Barnier said he would "analyse the proposals".
"When MPs (members of parliament) bring forward amendments, we obviously look at those", he told reporters.