However, the European Union has always insisted that Britain can not cherry-pick among the bloc's four freedoms: freedom of goods, services, people and capital.
On two of Monday's votes her majority was cut to three, suggesting that the leader will struggle to get Brexit legislation through a deeply divided parliament, which could possibly threaten the approval of any Brexit deal with the EU. "Problem is, I don't think she's in charge any more".
British Prime Minister Theresa May's Brexit strategy has been thrown into more turmoil after a blistering attack from her leadership rival Boris Johnson who said the plan would leave the United Kingdom in "miserable permanent limbo".
In the same magazine, Foreign Secretary Jeremy Hunt said May's Chequers deal is "absolutely alive" and will be "key to unlocking" talks with Brussels.
He stopped short of urging colleagues to replace May as the Conservative party leader, but there is little chance of May ditching a policy with which she is so closely associated. "Margin is closing on these votes & we will keep at it", tweeted Keir Starmer, Brexit spokesman for the opposition Labour party, which favours a customs tie with the EU.
Simon Clarke told reporters that he still disliked May's plan but had been shocked by the in-fighting.
United States launches campaign to pile pressure on Iranian leaders
Washington has also been accused of posting propaganda on social media aimed at stirring up unrest in Iran . Trump pulled out of an worldwide nuclear deal first brokered in 2015 by then-president Barack Obama.
He praised Theresa May's "courage and resilience" and said he agreed with the "vision for this country she set out with great clarity at Lancaster House on Jan 17 last year".
And at a meeting of her MPs on Wednesday, she won pledges of support, with one even announcing that he was withdrawing his letter of no confidence tabled the week before.
One Conservative lawmaker told Reuters the party whips, whose job it is to enforce discipline in parliament, had threatened to call a confidence vote in May if she lost - a move that could bring down the government.
On Monday, May infuriated Conservative lawmakers who want to keep the closest possible ties with the European Union when she made a decision to accept a number of demands by hardline pro-Brexit MPs from her party.
"While we acknowledge the importance of contingency planning, the government must not lose sight of the most important objective - to secure a negotiated outcome from Brexit talks, including a transition period that gives businesses time to adjust to the new landscape", WSTA chief executive Miles Beale, said.
Britain's Prime Minister Theresa May leaves 10 Downing Street in Westminster, London, Britain, July 18, 2018.
The UK is to leave the European Union on March 29, 2019, and the European Union has said it wants negotiations on the future partnership to be settled by October to give member states enough time to ratify the deal. "We should not and need not be stampeded by anyone ..."