Facing the prospect of losing a vote on a crucial amendment to the government's flagship Brexit legislation - which was created to empower parliament to vote down the final deal without risking a "no-deal" exit from the bloc - ministers intervened with a concession at the 11th hour even as MPs were wrapping up debate on the controversial measure.
Leading pro-EU Conservative Sarah Wollaston announced she would vote with the Government so long as a promised further amendment in the Lords "closely reflects" the Grieve proposals.
"This provides a sensible period of time to try and resolve the issue consensually, sensibly and not in any way to undermine the Government or indeed to ave a dig at other colleagues".
The BBC's political editor Laura Kuenssberg said she had been told by a government source that no actual concessions had been agreed and the only agreement was to keep talking.
Only 15 minutes was set aside for debating changes to devolved powers proposed by the Lords in the EU Withdrawal bill. Attention has focused on June 12 on the so-called "meaningful vote" amendment, which would give parliament the power to decide what to do if it rejects the final Brexit deal.
In a painful blow the the PM, Remain-supporting MP Philip Lee quit as justice minister this morning, saying he could not support "how our country's exit from the European Union looks set to be delivered".
Earlier the government avoided a major defeat in a key vote on changes to the Brexit bill.
Commenting on the Prime Minister's promises, he said: "I have every confidence after speaking with the Prime Minister that we will be able to do that". The views expressed therein are not necessarily those of stlucianewsonline.com, its sponsors or advertisers.
Brexit minister David Davis had earlier warned lawmakers that the government would never allow them to "reverse Brexit" or undermine negotiations.
The change reduces the likelihood that Britain could leave the European Union without a deal if it does not like the divorce terms.
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The Government made a series of late concessions to backbench MPs who were minded to rebel behind closed doors, meaning the true nature of what has been agreed is not yet clear.
But she faces a gruelling bout of "parliamentary ping-pong" with the Lords, as the Bill bounces back and forth between the two Houses over the coming weeks.
Among the 14 amendments to the Bill - set to be voted on by MPs on Tuesday and Wednesday - are changes which would see the United Kingdom stay in the Single Market and would allow Parliament to dictate future negotiating terms.
Details of the government's commitment will have to be formalised next week in a new amendment to the bill.
The amendment could effectively hand control of the Brexit process to parliament if it goes ahead.
The vote on Tuesday is the first of two days of debate that will test May's authority and her plans for leaving the EU. Pro-Brexit members of the government want to be able to play the "no deal" card, but the House of Commons, where pro-EU voices are stronger, would nearly certainly reject the idea.
Labour said May had been forced to avoid a "humiliating defeat" and "to enter negotiations with her backbenchers".
In the event, Dr Lee abstained on the crucial vote, saying he was "delighted" the Government had agreed to introduce an amendment giving Parliament "the voice I always wanted it to have in the Brexit process".
"I want to end up having a meaningful discussion so we can move forward positively".