During a five-hour debate, MPs reinstated the precise day the United Kingdom will leave the European Union - 29 March 2019 - in the proposed legislation while backing an amendment on the Irish border, guaranteeing there will be no new border arrangements without the agreement of the United Kingdom and Irish authorities.
The concession allowed the government to defeat a Lords amendment calling for parliament to have "a meaningful vote" on any eventual Brexit deal by 324 votes to 298.
What was the government's response?
However, despite backing down, pro-Remain Tories signalled they would not be easily consoled by a compromise offered by ministers.
A spokesperson for the Department for Exiting the European Union said: "On the meaningful vote we have agreed to look for a compromise when this goes back to the Lords".
Is the government guaranteed to get what it wants?
"This isn't about narrow party politics", she told BBC Radio 4's Today programme.More news: Syria strikes kill 15 civilians after militant attack - monitor
Then, "MPs voted to reverse the Lords amendment removing the "exit day" from the bill by 326 votes to 301 - a majority of 25".
DUPDUP leader Arlene Foster will back the Government.
What is the "meaningful vote" about?
Ms Allen insisted that the referendum was a binary vote and it didn't say that MPs should neglect their duty, but Nick hit back: "Your duty, some would argue, is to deliver Brexit, which is what the people have told you to do".
As Tory rebels threatened to defy the whip and back the Lords' amendment, .
This vote is on a knife-edge, with the opposition and Tory rebels hopeful of victory. That clause - drafted by Grieve - basically hands a lot of power to Parliament if no deal has been agreed by the end of November.
"The gap is: what happens if there is no deal?".More news: Meghan Markle's Plus-Size Doppelganger Leaves Internet in Awe
How about the customs union?
The Lords passed an amendment stating that Brexit can not go ahead until a minister has presented a report setting out what the United Kingdom has done to try to negotiate continued customs union membership.
May's officials will begin work Wednesday on the wording of a new clause in her key piece of legislation preparing for the divorce from the European Union.
The Lords amendment would require ministers to prioritise Norway-style membership of the EEA, which would again breach Mrs May's red lines and be seen by Leave backers as "Brexit in name only". If some of its leave-supporting lawmakers choose to vote against the amendment, the government could avoid defeat altogether.
The right-wing press is presenting the upcoming votes as a make-or-break moment, continuing its longstanding tactic of describing the Brexit process as the "will of the people" and any attempts to seek greater democratic oversight of the process as "undemocratic".
Is Theresa May's position in danger?
The solicitor general, Robert Buckland, who intervened from the dispatch box to offer the last-minute concessions that led to the would-be rebels' meeting with the prime minister, suggested that there would be no further compromise on part C, contrary to what MPs say they were told.More news: Lucas Torreira; Arsenal in talks to sign Uruguay midfielder from Sampdoria
This might convince some wavering "rebels" to back the government in order to save May and prevent Boris Johnson, the current foreign secretary and a leading so-called "Brexiteer", from seeking to replace her.