Who will the next Prime Minister be?
A Downing Street spokesman said the government accepted the amendments because it sees them as consistent with the prime minister's plan as set out in a formal white paper last week.
"The Americans can't believe, quite frankly, what a mess we're making of Brexit", he told the BBC.
He said he doesn't know if the queen liked him, but that he liked her.
In an interview with the BBC, May said, "He told me I should sue the European Union - not go into negotiations", on being asked what that suggestion was.
Discussing the prime minister's Chequers plan for Brexit, Ms Greening said: "I don't think it can work - I think it was a genuine clever attempt at a compromise that could work".
He also praised May's rival, Boris Johnson, who quit last week as foreign secretary to protest May's Brexit plans.
The government avoided what would have been an embarrassing defeat, but the razor-thin margin reveals the fragility of May's support as she tries to find a way to move the complex Brexit process forward.
"I'm happy to sit down and listen and hear concerns from my colleagues", the prime minister told lawmakers ahead of the vote. "For Leavers, this deal simply does not deliver the proper break from the European Union that they wanted".
May has repeatedly ruled out a second referendum, after Britons voted by 52%-48% for Brexit in 2016, but Greening's support for a so-called People's Vote will give the campaign a huge boost.
She added it was "also an opportunity to tear down the bureaucratic barriers that frustrate business leaders on both sides of the Atlantic".
The 20-foot-tall blimp depicting an orange, angry, diaper-wearing President Trump as a baby has become the symbol of the large-scale protests that have met the USA president during his visit to Britain, that after months of scheming, plotting and crowdfunding, became the world's most famous helium-filled balloon climb into the sky.
The votes in parliament's lower House of Commons come as Britain's new Brexit minister Dominic Raab heads to Brussels this week for his first talks with the EU's chief negotiator Michel Barnier. He left a trail of double-talk and chaos that has become a pattern in the USA president's recent overseas travels.
She added that "these people do not want a responsible Brexit; they want their version of Brexit".
On the Queen, Morgan quoted Mr Trump as saying: "The Queen is fantastic!" He blamed the newspaper for skipping over his praise of May in a piece that was published Thursday just as the prime minister played host to Trump at an opulent welcome dinner at a country palace.
When asked on Sunday if she would stand if a Conservative Party leadership contest was triggered, May declined to directly answer saying: "I am in this for the long term". "There comes an inflection point, the Chequers deal was an inflection point, we will have to see what happens", Bannon said. The latter claimed the Chequers deal would leave the United Kingdom in the status of a "colony" to Europe and claimed the Brexit "dream was dying".
Davis said he would not speak in the parliamentary debate but could back one of the rebel amendments.
Voting down a divorce deal so late in the process would trigger a major political crisis in Britain which would then be on course to crash out without any formal Brexit arrangements for trade, immigration and security.