Mrs May is set to give a special address at the summit – but will be dramatically outnumbered by Brexit-sceptics including the Bank of England’s Mark Carney, French President Emmanuel Macron and Irish Taoiseach Leo Varadkar.
Arch-remoaner Tony Blair, who attends the elite event annually, will appear on the Swiss sidelines but is not expected to present any talks.
Shadow Chancellor John McDonnell is also due to speak at the event – despite repeatedly hitting out at “City elites” during his time on the Labour benches.
He is expected to use his moment in the Davos spotlight “to set out why it is vital we rewrite the rules of the global economy” as part of a panel titled “Will free markets make a comeback?”
A spokesperson added: “He will further explain Labour’s vision for an alternative economic approach to replace the current model of capitalism that has failed the many; and led to an unsustainable concentration of wealth and power in the hands of a few.
“In addition, he will raise many of the issues facing working people in our country, and across the world.”
He will be joined by the British CEO for the Gulf International Bank of Bahrain, Katherine Garrett-Cox, and Ghanaian Cardinal Peter Turkson.
Meanwhile the newly appointed successor to Zimbabwean dictator Robert Mugabe will attend after his predecessor was ousted by a bloodless military coup last year.
President Mngangwa will visit Switzerland flanked by 20 of the nation’s top officials to outline his path to catapult his nation into a fully fledged democracy.
It comes as Mrs May attempts to use the summit to ease tensions between the UK and Donald Trump.
The US President will be the last world leader to deliver a special address to the summit.
White House press secretary Sarah Sanders said in an emailed statement that Trump “looks forward to having a bilateral meeting” with Mrs May in order to “further strengthen the US–UK Special Relationship”.
The tone of the cordial statement is a dramatic shift from the US president’s recent tweets about his visit to the UK.
On January 12 he said he had “cancelled” a February visit to London to open the new US embassy in Vauxhall, because the new building was a “bad deal” for his UK envoys.
Critics suggested that in reality, he had ditched plans for the trip amid huge criticism of his agenda.
Since a state visit for the US president was agreed, shortly after his inauguration, Trump has faced a barrage of criticism in the UK.
Trump has been publicly denounced by MPs from all parties, while Commons speaker John Bercow has said the president will not be invited to address the House.
The US president reportedly also anticipated huge protests would follow him across the UK.
And the special relationship took another blow when he directly criticised Mrs May for condemning his retweets of Britain First, saying she should mind her own business.