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Mrs May hopes to resolve cabinet splits on Brexit at a assembly this week
Downing Street has produced a third model for dealing with customs after the UK leaves the EU, the BBC understands.
Details of the brand new plan haven't been revealed publicly however senior ministers will talk about it at Chequers, the prime minister's nation retreat, on Friday.
Ministers have been concerned in heated discussions lately as they tried to decide on between two earlier fashions.
Tory backbencher Jacob Rees-Mogg says the PM dangers a revolt if the sort of Brexit she promised shouldn't be delivered.
Theresa May hopes to resolve cabinet splits on the form of Brexit at this week's cabinet assembly.
The prime minister has mentioned the UK will then publish a White Paper setting out "in more detail what strong partnership the United Kingdom wants to see with the European Union in the future".
It follows final week's summit in Brussels the place European Council president Donald Tusk issued a "last call" for the UK to agree its place on Brexit, saying the "most difficult" points have been unresolved and "quick progress" was wanted if settlement was to be reached by the subsequent assembly in October.
BBC political correspondent Chris Mason says Downing Street hopes it has now discovered its approach out of a bind on customs, the difficulty central to the practicalities of the UK's future trading relationship with the EU, and a important half of discovering a answer to sustaining an open border with the Republic of Ireland.
The UK is because of depart the EU on 29 March 2019, and negotiations are happening on what their future relationship will appear like.
The authorities had talked publicly about two potential customs choices.
One, a customs partnership, would imply the UK applies the EU's personal tariffs and guidelines of origin to all items arriving within the nation, meant for the EU.
The different, often known as most facilitation or max-fac, aimed to make use of new know-how to take away the necessity for bodily customs checks the place doable.
Our correspondent says the federal government has now deemed each choices virtually or politically undeliverable.
But Mrs May should promote her plans to her Brexiteer backbenchers too and a few are nervous that she is watering down her intentions.
Writing within the Daily Telegraph, Mr Rees-Mogg mentioned he and different members of the 60-strong group of Eurosceptic Tory MPs he leads, often known as the European Research Group (ERG), would reject a deal that didn't quantity to a clear break with the EU.
A deal which restricts the UK's capability to make commerce agreements with different nations or management migration couldn't be accepted, he mentioned.
Mr Rees-Mogg mentioned Mrs May had declared the UK would go away the one market and the customs union and "must stick to her righteous cause and deliver what she has said she would".
The authorities should seize a "great opportunity to do things better" relatively than being in a "tremulous state that sees Brexit as mere damage limitation", he additionally mentioned.
On Saturday, it was revealed that Environment Secretary Michael Gove bodily ripped up a report on Mrs May's then most popular possibility for a new customs partnership with the EU.
He was mentioned to have been "livid" as he felt the federal government doc downplayed his objections to the proposal.
Speaking on the BBC's Andrew Marr Show, James Brokenshire, the secretary of state for native authorities and housing, mentioned there have been "strong views" on either side however predicted Friday's away-day would yield a "clear direction" from the UK.
Writing within the Observer, Sir Graham Brady, chairman of the 1922 committee of backbench Conservative MPs, mentioned urged cabinet ministers to unite behind Mrs May, warning the party was risking the "disaster" of a Labour authorities led by Jeremy Corbyn if it didn't.