ARCH-Brexiteer Jacob Rees-Mogg has urged Theresa May to take a tougher line with Brussels on Brexit, claiming she had made “errors" in her negotiation strategy.

The Somerset MP, who chairs the influential pro-Leave European Research Group and tipped by some as a potential future Conservative leader, insisted there was "no menace in me at all" over his actions.

But he claimed the Prime Minister had proposed "over-complicated" solutions to the customs problem and must be prepared to tell Brussels her Government would walk away without paying the almost £40 billion Brexit divorce bill; potentially, leaving the bloc in the red.

On BBC1's Andrew Marr Show, Mr Rees-Mogg said Mrs May had made a mistake over her approach to the Irish border issue, one of the most contentious aspects of the negotiations, by ruling out the prospect of unilaterally keeping an open frontier after Brexit.

"The Prime Minister said in her Mansion House speech that she wasn't going to do this; that is a mistake.

“It is the obvious negotiating position to have. Bear in mind the Irish economy is heavily dependent on its trade with the United Kingdom, it is overwhelmingly in the interests of the Republic of Ireland to maintain an open border with the United Kingdom.

"If you are going into a negotiation, you should use your strongest cards and just to tear one of them up and set hares running on other issues is an error," he argued.

The Tory backbencher said the Government's plans for a "backstop," which would see the whole UK potentially tied to European Union rules in order to avoid a hard border - if no other way of solving the issue is possible - was "a real problem" and could leave the UK a "vassal state for an indeterminate period".

“Basically, the deal is very simple: we are paying a very large amount of money, £40 billion, and in return we want a trade deal. Everything else is essentially incidental to that," he declared.

Mr Rees-Mogg explained that the UK should make clear to the EU that "if we don't get the trade deal we want, you don't get the money".

Without the UK's money the EU "faces a real crisis next March," he claimed, pointing out how the political situation in Italy meant the bloc was already facing other problems.

Meanwhile, Mr Rees-Mogg played down his own personal ambitions, stressing that Mrs May - "the most impressive and dutiful leader this country has had" - was "crucial to the Brexit project".

He added: "Of course, I wouldn't challenge Theresa May, that's a ridiculous idea."

Elsewhere, fellow Brexiteer Iain Duncan Smith, the former party leader, told Sky's Ridge on Sunday that anyone plotting to overthrow Mrs May should "shut up" and get on with delivering Brexit.