"It's a People's Vote, with the option of keeping the best deal we now have as a member of the European Union".
There's every sign they won't, and that would leave May with a set of unpalatable options that range from taking Britain out of the bloc without a deal - with potentially disastrous economic consequences - to holding a second referendum.
"A big hit on our economy will mean an increase in local poverty, fewer resources locally to plan and deliver our services, no structured programme to support our local economies and real threats to all aspects of our import and export trade", she said.
The amendment says Parliament must be able to express its view on how the government should proceed if the prime minister's plan is defeated.
"I will be talking with members of Parliament obviously and explaining to them why I believe this is a good deal for the UK". The person she most wants to sell the deal to is U.S. President Donald Trump because a trans-Atlantic trade deal has been held up as one of the greatest prizes of Brexit. The main opposition Labour Party and a cross-party group of senior lawmakers have put forward amendments to block May's European Union withdrawal deal and to rule out a no-deal Brexit.
May's visit is the first by a United Kingdom prime minister to the Argentinean capital and on Friday she'll meet with President Mauricio Macri.
Dr Fox, who insisted that Mrs May was "changing the public mood", appeared to suggest that some of his Cabinet colleagues may still vote against the PM's Brexit deal.
Speaking to a parliamentary committee, May was asked several times whether she would personally allow a disorderly Brexit to happen if - as looks increasingly likely - MPs vote down the deal she has struck with the EU. People need to have some clarity about that... "It says we will be able to do those trade deals, and we will be able to do them with the United States and others".
It also comes as the Conservatives and Labour, divided over Brexit, also find themselves unable to come to an agreement over the hotly anticipated televised debate on Brexit.
The decision to back a People's Vote was taken at a meeting of council leaders in Edinburgh today.
Such actions on the part of the BBC are clearly not in line with the obligation to act fairly and leave the Corporation open to the clear impression that you are acting on behalf of the Prime Minister's office, a position I am sure the BBC would not wish to be in.
But hinting at potential further resignations from Mrs May's top team over Brexit, he added: "Members of the Cabinet who don't vote for the deal won't be members of the Cabinet".
With less than two weeks to go before a vote in the House of Commons, May is trying to win support from lawmakers of all parties who have balked at the deal.
Conservative MP Jacob Rees-Mogg, a staunch Brexiter who is one of the most vocal critics of the deal, said Friday that the government was trying to frighten people into accepting it with dire forecasts about the impact of leaving the European Union without an agreement.