Theresa May under pressure to step down over Brexit

British Prime Minister Theresa May is facing intense pressure from within her own Cabinet on Sunday to step down over her handling of the Brexit process.

According to numerous U.K media reports, disgruntled ministers and MPs are plotting to give her an ultimatum to resign as the price for backing her controversial withdrawal agreement in a third Parliament vote next week, a move which could even see her forced out to make way for a caretaker Prime Minister in the form of her deputy David Lidington.

'Downing Street' has dismissed reports of any such plot, with Lidington, Britain's Minister for the Cabinet Office, stressing he is "100 per cent behind the Prime Minister".

"This is not about the Prime Minister changing Prime Ministers wouldn't help, changing the party of government wouldn't help," said U.K Chancellor Philip Hammond, calling on MPs to unite behind May.

Asked about calls for a second referendum after nearly a million people marched through the streets of London on Saturday to demand a so-called People's Vote , he agreed that another referendum over Britain's membership of the European Union (EU) should be considered.

"It is a coherent proposition and deserves to be considered, along with the other proposals," the senior Cabinet minister said.

The latest leadership row within the Conservative Party comes ahead of a week where May is expected to lose further control over the Brexit process as a cross-party group of MPs press for alternatives to her divorce deal to be debated in the House of Commons on Wednesday.

(Agencies)