May is expected to meet the new cabinet on Tuesday.
The Prime Minister enduring a bruising battle today as the two Cabinet heavyweights resigned over Brexit. That's partly because they can't be sure they have the numbers needed to defeat her.
Under Conservative Party rules, a confidence vote in a leader can be triggered if 48 Conservative lawmakers write a letter requesting one.
Allies of Mrs May said that just six MPs expressed dissent in the course of the meeting.
Mr Buckland said there had been a realisation that "we all hang together or we all hang separately".
The Suddeutsche Zeitung says Davis and Johnson "ran away" from May, who it says is now in the "most hard crisis" of her time in Downing Street.
"Time to back our PM to get a great Brexit deal - it's now or never".
"And it would be a split coming from the top, not from the members of the Conservative Party across the country".
The Prime Minister said she was "sorry and a little surprised" over Johnson's resignation, after "productive discussions" on Friday.
He says it's still more likely than not the terms of Brexit will be agreed upon by the deadline in March 2019.
Former whip Chris Heaton-Harris takes over as a Brexit Minister from Steve Baker.
In his resignation letter, Johnson wrote: "Brexit should be about opportunity and hope".
His replacement by Mr Hunt, a Remainer in the referendum campaign, is likely to further antagonise some Brexiteers. "The Prime Minister thanks Boris for his work", an emailed statement from May's office said.
Jeremy served as attorney general for England and Wales since 2014 but will now turn his attention to media, culture, and all things related to the development of digital radio.
May replaced Davis by appointing Dominic Raab as the new Brexit Secretary.
Mr Juncker said: "This clearly proves that at Chequers there was clearly a unity of views in the British Cabinet".
"If we end up with a Brexit deal as it seems we are going to I will certainly finish my association with the Tory party and I do not think I would be the only one".
"Politicians come and go but the problems they have created for people remain", said Mr Tusk.