However, the Grieve amendment was not put to a vote on Tuesday, after would-be rebels accepted "personal assurances" from the PM that a compromise would be found.
Hartlepool MP Mike Hill has explained why he chose to defy his own party leader and voted against attempts to keep the United Kingdom in the European Economic Area after Brexit. Come Thursday evening they were once again at each other's throats.
David Davis, the Brexit secretary, said he could not accept any amendments to the Brexit bill that would "allow parliament to instruct government on what steps it should take" in the negotiations.
On Monday, the House of Lords will debate different proposals for a so-called "meaningful" vote - the role that parliament will play if lawmakers reject the exit deal May negotiates with the European Union, or if she fails to agree an exit deal at all. But the wording of the promised compromise has now been published. "We've always said that Parliament was going to be able to express its view on this issue, to have a meaningful vote on this issue".
Who is Dominic Grieve?
"Would be amusing if only it wasn't such a serious issue, Preventing the most destructive Brexit matters to the majority in Parliament..."
One of the most prominent Tory rebels, Dominic Grieve, last week said the government's actions were a "slap in the face". "And therefore it can not be accepted".
"We could collapse the government, and I can assure you I wake up at 2 a.m.in a cold sweat thinking about the problems we have put on our shoulders", said Dominic Grieve, the lawmaker negotiating with the government on the final wording of the laws that will end Britain's European Union membership. I listened to their concerns and I undertook to consider their concerns.
Grieve said the problem was that if the United Kingdom reached "the really apocalyptic moment" where no Brexit deal had been done by early February 2019, Parliament was not being offered the chance to say what should happen next - only to "note" the position. The most recent Tory amendment, however, does not include this. He said: "I think it is unacceptable because it seems to me to be contrary to what the whole intention was behind this whole amendment".
What is the meaningful vote amendment?
"Our constitution already empowers the legislature to provide a check on the government", he added.
The bill will now returns to the House of Lords early next week, with both the government amendment and Mr Grieve's original amendment expected to be debated. Grieve's original amendment up for debate.
The upper House of Lords, which wants to keep Britain close to the European Union after the United Kingdom leaves in March, will rake over the EU (Withdrawal) Bill on Monday (Jun 18), before it returns to the lower House of Commons on Wednesday.