However, the European Union has insisted the terms of the UK's withdrawal, rejected three times by MPs, can not be renegotiated - but there is scope to strengthen the political declaration, a document setting out the parameters of the UK's future relations with the European Union, ahead of the new Brexit deadline of 31 October.
"I'm sorry she's supporting the new Brexit Party and not the Tories but family always comes above politics and I think always should".
"They're not going to go on for months, they're certainly going to continue next week", he said.
"We think it is possible to get the benefits of a customs union but still have the flexibility for the United Kingdom to pursue an independent trade policy on top of that with other countries outside the EU".
Asked by the BBC what would happen if the two parties failed to reach a compromise, Lidington said: "As government we've always made it clear that while we'll do our best to try to reach a compromise with the main opp party. if that doesn't work then what we'll want to move towards is to put before parliament a set of options with a system for making a choice, and parliament actually having to come to a preferred option rather than voting against everything".
Chairman of the 1922 Committee Sir Graham Brady told the Sunday Telegraph: "It is my understanding that the rules could in future be changed by the agreement of the 1922 executive".
In an interview on Sky News' Sophy Ridge on Sunday, Mr Duncan Smith warned the Brexit extension agreed by European Union leaders last week and accepted by Mrs May represented a "political death" for his party.
The threat of a boycott by activists will raise further doubts about the ability of the cash-strapped Tories to compete against Ukip and Nigel Farage's new Brexit Party. "We are the Conservative party, not the Vote Leave party".
Jacob Rees-Mogg gave LBC listeners his reaction to the news that his sister had joined Nigel Farage's Brexit Party ahead of the European Union elections next month.
Nadine Dorries, a Eurosceptic MP and keen supporter of Boris Johnson's leadership campaign, hit back at what she suggested was a concerted campaign against Johnson.
Duncan Smith said many in the party were deeply concerned about the most recent polling predicting a Labour lead of up to seven points and dire forecasts for the local and European Union elections. "The big problem was as soon as we didn't leave, you could see all the poll ratings start to crash".
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