The to-and-fro over Parliament's role as the United Kingdom leaves the European Union will return to the Commons after peers inflicted another heavy defeat on the Government on Monday.
The proposal passed on Monday will now be voted upon in the lower House of Commons on Wednesday, with the pro-EU camp still seeking compromise but warning they could collapse the government unless their demands are met.
The amendment will now return to the House of Commons to be debated on Wednesday, and sets up a clash between Remainer and Pro-Brexit MPs. And the outgoing chairman of the business lobby group, the CBI, has given a gloomy assessment of the UKs future, saying he's certain the country will be worse off after Brexit.
Ministers have so far agreed to give parliament a symbolic vote on the government's strategy if its initial exit deal is rejected, but not to give lawmakers the power to force changes.
The Prime Minister said she had been listening to the concerns of critics but the legislation must not restrict her freedom in talks with Brussels.
Among the Tory peers who voted against the government were senior figures such as Michael Heseltine, Chris Patten and Sayeeda Warsi.
Tory Lord True said the amendment would give the House of Commons "potential control over the Government in negotiations", adding: "I believe that to be utterly impractical and totally unconstitutional".
Speaking before the vote, foreign minister Boris Johnson reinforced the government's view that discussion of the meaningful vote was hypothetical as ministers were confident of getting a deal with Brussels that parliament will approve.
Asked if voting against the Government could bring it down, Mr Grieve told BBC1's Sunday Politics: "We could collapse the Government".
He said on Tuesday: "But we can not accept the amendment on meaningful vote agreed in the Lords".
Lord Hailsham told the Lords: "This Government has sought to prevent a meaningful vote in every possible way".
Backbencher Tory MP Sarah Wollaston noted: "There is no attempt here to overturn the referendum or to micromanage the negotiations, simply that the majority of MPs will not support a cliff-edge no-deal Brexit and will insist on a meaningful vote".
If successful, Mrs May could come under pressure to renegotiate her final deal if it is rejected by MPs in a non-binding vote. Parliament - which backs a softer Brexit than the one being pursued by the government - would be able to block a "no-deal" split.
Ministers say they are confident of getting a divorce deal that parliament will accept, and that all discussion of the vote is hypothetical.