Pro-Remain Tories are pressing for the Prime Minister to give ground over her opposition to a post-Brexit customs union and for Parliament to take over negotiations if MPs reject Mrs May's Brexit deal.
Just hours before the vote, the pressure on Ms.
Government sources signalled to the Press Association that ministers were set to back the move.
But the former Chancellor Kenneth Clarke has urged pro-EU rebels to hold their nerve, arguing that if they succeeded they would strengthen Mrs May's hand against the Brexit hardliners in the Cabinet. "We will have to go away, think about it and come back and make a statement".
Five Labour MPs - Ronnie Campbell, Frank Field, Kate Hoey, John Mann and Graham Stringer - voted with the government.
Will that knowledge mean a softer Brexit strategy will now emerge?
In extraordinary scenes in the House of Commons, May was understood to have seen more than a dozen Tory rebels in her office minutes before voting started, during which she gave them a personal assurance that she would agree to the broad thrust of their proposals and amend the bill in the Lords.
"We will now work with the government to get acceptable amendments tabled in the Lords to address this". The Daily Express featured the British flag as its front page with the headline: "Ignore the will of the people at your peril".More news: 25 killed in Guatemala volcano eruption
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Shadow Brexit Secretary Keir Starmer commented: "This vote was about ensuring parliament was given a proper role in the Brexit negotiations and that we avoid a no deal situation, which is becoming more likely with the divisions at the heart of this government".
Theresa May saw off a revolt from the pro-European wing of her fractured party, averting what could have been a major political crisis.
Ministers have conceded in principle to Tory rebels" demands for a "meaningful vote' on the eventual Brexit deal.
While the clip may breach parliamentary protocol, Bardell said she was willing to risk it for the sake of democracy.
"A vote between bad and worse is not a meaningful vote".
'The goal of the EU Withdrawal Bill is simple - it is putting EU legislation into law to ensure a smooth and orderly transition as we leave, ' she is expected to tell them.
"The people want us to leave the EU".
Labour's Shadow Brexit Secretary Keir Starmer believes that a Norway-style deal with the EU would not prevent a hard border in Northern Ireland and that becoming a member of the European Economic Area (EEA) - effectively keeping Britain in the EU single market - would be "totally incompatible" with the need to avoid a hard border with the Republic of Ireland, the Independent wrote.