Eurosceptic lawmakers had targeted her government's customs legislation to try to toughen up her plans to leave the European Union, but instead of facing them down and fuelling tensions, her spokesman said the government would accept their four amendments.
They can hold their fire for Tuesday when the same amendment is tabled to a separate trade bill.
Earlier in the day, before May's concession became public, Scott Mann, the MP for North Cornwall, became the latest Conservative MP to resign a junior government post over the Chequers deal in a rolling protest from concerned backbenchers.
But Mrs May insisted the amendments do not change the blueprint agreed at her country residence. "There is not going to be a second referendum... under any circumstances", the spokesman told reporters.
Mrs May faced a potential revolt on the Taxation (Cross-border Trade) Bill, often referred to as the Customs Bill.
Downing Street declined to say if it would accept some of the changes put forward by Jacob Rees-Mogg and other hardline Brexiteer MPs, in a bid to get them to drop one in particular that would have the effect of wrecking May's plan.
US President Donald Trump, who visited Britain last week, told May that under whatever deal she comes to with Brussels, she must ensure Britain is free to strike its own trade arrangements with the United States once it leaves the EU.
A spokesperson for Theresa May reiterated the leader's belief that her plan for leaving the European Union was the only way to get a deal that meets the government's needs.
The idea of a referendum sequel has always been popular among Remainers - those who voted to stay in the European Union - who believe that the campaign around Brexit was infused with lies and propaganda, and that Leavers, their opponents, never had a coherent plan for withdrawal.
WeWork bans meals with meat as a work expense
WeWork's co-founder Miguel McKelvey wrote the ban is meant to reduce the company's carbon footprint, Business Insider reports . He indicated that the company would work with employees who have specialized dietary needs for medical or religious purposes.
Referencing her recent meeting with Donald Trump, Mrs May seized upon praise offered by the USA president saying: "As president Trump has said, I'm a tough negotiator".
However, the key amendment seeks to block the government from collecting "certain taxes or duties on behalf of territory without reciprocity", which appears to block a key pillar of the prime minister's customs plan.
A second forces the Government to commit itself in law not to allow a customs border down the Irish Sea.
The prime minister was accused of "caving in" to Eurosceptic demands.
Brexiteers had set up a WhatsApp group to co-ordinate voting tactics, organised by ex-Brexit minister Steve Baker, who quit over the Chequers plan.
No 10 concluded that all four amendments were "consistent with the Brexit white paper", a decision that so incensed Tory remainers that they vowed to vote against the amendments in Monday night's Commons debate.
Former minister Justine Greening called on Monday for a second referendum to end the stalemate in parliament over the best future relationship with the bloc.
"You've got the Chequers deal, you've got national suicide - the WTO option, or you've got the status quo", he said.
The damage inflicted by President Trump's naiveté, egotism, false equivalence, and sympathy for autocrats is hard to calculate. Trump immediately dodged, changing the topic without denouncing Russian Federation or even acknowledging any misconduct.
As well as Ellie and Charlie, Georgia Steel and Sam Bird, and Megan Barton Hanson and Wes Nelson were up for the chop. Tonight sees Caroline Flack make a surprising announcement that will surely throw the contestants into turmoil.
Subscriber additions: 5.1 million total - 670,000 in the United States and 4.47 million internationally. Global subscriber net additions are projected at 4.35 million, again, below the average 5.095 million.
Meanwhile, security sources in Dhi Qar Province said scores of tribesmen burned tires and blocked the Nasiriyah-Baghdad highway. Abadi has announced that his caretaker government would release funds to Basra for water, electricity and health services.
Snyder said neither the exact location of the incident nor the total number of passengers aboard the boat were immediately known. Geological Survey said the lava was transforming into a fast-flowing river capable of covering roughly 200 yards per hour.
He added: "I can not tell the people of WOxon [West Oxfordshire] that I support the proposals in their current form". Asked if there was a suggestion that ministers would accept the amendments he said: "No".
In particular, the promo promised that the Doctor will still have her old puckish sense of humor in this new incarnation. But we've also been given a cute little teaser trailer that helps flesh out some more details.
Meanwhile, the Syrian Arab Red Crescent said that a humanitarian aid convoy reached government-held parts of southwest Syria. An estimated half a million people have been killed with 11 million more displaced in more than seven years of conflict.
The highlights continued under LeBron's watch, as Alex Caruso 's 4-point play got King James pumped just before halftime. Josh Hart comes up with a steal and banks in a tough layup, and LeBron James claps to show his appreciation.
The president said the Russian Federation probe could potentially impact the U.S.' relationships with other countries as well, calling into question what he characterized as the politicization of the overall investigation.
Best of Amazon Prime Day
In the years since, Prime Day has grown into a shopping extravaganza in its own right, with deep discounts on all kinds of items. Using the app, click into the menu section in the upper left corner and choose "Today's Deals", then click the "Upcoming" tab.
EU Urges U.S., Russia, China To Avoid Costly Trade Wars
Here, a container ship is unloaded at the Port of Oakland in California last week after completing a voyage from China. These topics included the circular economy, investment, oceans, clean energy, climate change and emissions trading.
U.S. to UN: Cut off North Korea’s oil supplies
President", hailing the summit as the "start of a meaningful journey" toward warmer relations between the US and North Korea. There was no immediate word from the USA side, but South Korean media said that the US team was led by Air Force Maj.
Uber rolls out new features to improve the pickup process
If you're in a crowded area or it's just dark, you can set the app to take over the screen with a color specific to your driver. Finally, for rides booked in advance for a specific pickup date and time, Uber now guarantees the driver will be there on time.
Severe thunderstorm watch issued
Environment Canada has issued a severe thunderstorm watch for London-Middlesex, Chatham-Kent, Leamington, and Windsor-Essex. The weather watch should diminish by the evening. "Remember, severe thunderstorms can produce tornadoes".