Both groups say new border technology tracking goods could preserve frictionless trade.
Whether MPs vote for May to renegotiate the backstop or even delay Brexit, this does not solve the UK's fundamental problem: the lack of a clear consensus.
"She said a vote of the Brady amendment makes it clear that the current nature of the backstop is the key reason that the House can not support the deal".
Aside from Brady's proposal, the other key amendment expected to garner a large amount of support, possibly enough to be approved by parliament, is one put forward by opposition Labour lawmaker Yvette Cooper. It was the biggest government defeat in the House of Commons for more than a century and prompted two weeks of soul-searching and debate over how to resolve the impasse inside the government. May parliamentary backing for her move to renegotiate.
But it's far from certain the amendment can win support from a majority in the House of Commons. What they said was: people have struggled for the vote, people have died pursuing the vote. Other proposals including the Conservative party amendments seeking removal of the controversial Northern Ireland backstop even with the European Union standing clearly against such move.
However, she acknowledged the huge task ahead.
But he insisted: "What we need is to achieve something legally binding - and that means part of the Withdrawal Agreement".
Indeed, EU officials were quick to reject any renegotiation.
The committee's decision - adopted unanimously with 53 votes in favour - must be endorsed by the full parliament next month, which is likely as other European Union institutions have backed a move to relaxed visa requirements for Britain after Brexit, provided London reciprocates.
News reports on the weekend suggested the EU would be willing to renegotiate the backstop if the United Kingdom would stay in the EU's customs union - an option that would leave the United Kingdom unable to strike its own trade deals, and one May has repeatedly rejected.
Prime Minister Theresa May addressing the House of Commons. French President Emmanuel Macron said the agreement "is the best accord possible. It is not renegotiable".
"The Prime Minister has been aware of the discussions".
Ms. May has little room to manoeuvre.
"There can be no change to the backstop".
But faced with an overwhelming rejection of the deal this month, Ms.
If no new deal is reached by February 13, the PM will make a statement to Parliament that day and table an amendable motion for debate the following day. Barley said it will be "difficult" if they want to renegotiate, "because the European Union can not make more concessions to Britain on the important points".
"When will the PM understand that the ideological leaders of the ERG do not want a deal?"
May's spokesman said she backed a proposed measure that called for the removal of a controversial Irish border "backstop" arrangement written into the divorce deal. They have also insisted that it is temporary.
Drawn up in meetings co-ordinated by housing minister Kit Malthouse, the compromise recasts the backstop as a "free trade agreement-lite", with a commitment on all sides there should be no hard border and an extended transition period to December 2021.
"We anticipate significant risks to maintaining the choice, quality and durability of food that our customers have come to expect in our stores, and there will be inevitable pressure on food prices from higher transport costs, currency devaluation and tariffs", they said in a letter to MPs.