Meawhile The Times reported Mr Javid was set to further anger Brexiteers that new controls should not be imposed on European Union migrants for more than two years in the event of a no-deal break in order to protect the economy.
The British prime minister, who has called for the EU to evolve their negotiating position, will also meet the European Parliament's chief Brexit coordinator Guy Verhofstadt on Monday, her spokesman said.
"We assume that a compromise will be reached (even though we may have to wait for that until five minutes to midnight) and a hard Brexit will be avoided".
But she is facing increasingly vociferous calls from Tory Brexiteers to abandon Chequers in favour of a more basic free trade agreement in goods along the lines agreed between the European Union and Canada.
May's aides have reportedly already begun to draw up contingency plans for a snap election, the Sunday Times reported, citing two senior members at Downing Street.
There will be surely no easy job for the prime minister at the party conference this year as the pressure is being built on her over Brexit. "If we continue on the present course, Brexit will be a small damage limitation exercise which will weaken the United Kingdom and be largely unnoticed by the rest of the world", IEA co-author Shanker Singham told the launch in London.
Labour's annual conference kicked off on Sunday in the British port city of Liverpool and the Conservative Party is to start its annual gathering on September 30 in Birmingham.
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As he walked the fairway on the 18th hole Sunday afternoon, a large crowd began chanting his name and swarming onto the course. But his struggles have dated back to the highly public unraveling of his marriage and private life almost nine years ago.
Mr Francois said the PM would "lose" any vote and should embrace an alternative Canada-style trade plan.
Global banks, insurers, asset managers, private equity firms and exchanges told Reuters they are moving the lowest number of employees possible, as they hold out for a Brexit deal guaranteeing access to the Single Market.
He appeared alongside former foreign secretary Boris Johnson and ex-Brexit secretary David Davis as Mrs May met her cabinet for the first time since last week's Salzburg showdown.
At home, both leavers and remainers found her Chequers proposal for a soft Brexit unacceptable.
The latest speculation may further energize the Labour Party conference that started this weekend in Liverpool.
The prime minister has responded by saying a no-deal Brexit would be better than the proposal favoured by rebel Leave supporters. But I'm not calling for a second referendum.