We will not do this by supporting a second referendum and we will not do this by accepting any terms offered to us by Brussels.
May is on Monday to present her new approach to the British House of Commons.
It exposes the deep divisions in the Cabinet, following comments by Chancellor Philip Hammond that he believed a no deal Brexit would be scrapped.
British lawmakers threw out May's Brexit deal Tuesday, handing the prime minister the worst parliamentary defeat in modern British history.
"If she wants to negotiate with all parties in Parliament, and if she wants to do that in good faith, she has to say "OK, I'm not sticking to every single one of the red lines that I've established", he told ITV's Good Morning Britain.
On Thursday, delivering a speech in Hastings, he said: "I am quite happy to talk, but the starting point for any talks about Brexit must be that the threat of a disastrous no-deal outcome is ruled out, taken off the table".
Mrs May did hold talks with Lib-Dem leader Sir Vince Cable, SNP Westminster leader Ian Blackford and Plaid Cymru's Liz Saville-Roberts late on Wednesday.
And Conservative chairman Brandon Lewis said: "I am disappointed to see Labour again yesterday trying to frustrate and avoid Brexit by hanging open that they would possibly go for a second referendum".
Conservative Party chairman Brandon Lewis ruled out discussion on staying in a customs union.
Mrs May will hold further talks with other groups, including MPs in her own party and the Democratic Unionist Party on Thursday.
"The Prime Minister seems completely unable to grasp what has actually happened", he said.
Liam Neeson mourns the tragic death of young nephew
Ronan Sexton , the nephew of actor Liam Neeson , has died at the age of 35, five years after suffering a tragic fall. They also thanked the public for their outpouring of "love, support, prayers, and good wishes for Ronan ".
The bilateral agreement announced on Friday comes as part of a series of other measures touted by the Spanish government to try and guarantee the rights of Britons living in Spain and vice-versa in the event of a no-deal Brexit.
"I asked what areas she would be willing to give ground on, and she just said that wasn't the objective of the meetings", Ms Lucas said.
Asked by a reporter if he was "taking no-deal off the table" in response to the opposition leader's demand, the spokesman replied: "I am not".
Ms Leadsom said: 'Parliamentarians are the servants of the people - and the people gave us a very direct answer to a direct question.
Though he acknowledged that the Government was "not in control" of events on Monday, Mr Hammond stressed: "It is not within their power to mandate any future course of action, that would be for a Government to do".
Under EU rules for a member state leaving the bloc "we will leave the EU without a deal on March 29 unless parliament either agrees a deal with the EU or the United Kingdom revokes Article 50 and chooses to stay in the EU permanently", she wrote.
Meanwhile, leading Brexit campaigner and UK Independence Party leader Nigel Farage has urged "Leave" campaigners to prepare for the possibility of a second referendum as Britain's deadlock continues.
Mrs May is understood to have repeated the same performance in conversations with the French president Emmanuel Macron, the Dutch prime minister Mark Rutte and the.
Labour MP Luciana Berger, who supports the People's Vote campaign for a second European Union referendum, warned Mr Corbyn not to hesitate in giving his backing to a public ballot.
Jan Baykara, a 24-year-old organiser for Islington Young Labour, said: "The People's Vote is interesting but a detached form of politics".