Matt Hancock MP has been promoted to one of the most senior and sought-after positions in government, the Secretay of State for Health and Social care, he will replace long-standing Health Secretary Jeremy Hunt.
Health Secretary Jeremy Hunt has been appointed Foreign Secretary after Boris Johnson resigned in protest at the deal that Theresa May struck with her cabinet on the UK's post-Brexit relationship with the EU.
"It seems to me we're giving too much away, too easily, and that's a risky strategy at this time", Davis said in a BBC radio interview Monday morning.
However the Daily Mail reported Mr Rees-Mogg said Mr Johnson would make a "brilliant" prime minister.
Tuesday's meeting comes after Foreign Secretary Boris Johnson and Brexit Secretary David Davis quit, saying May's plans for future relations with the European Union don't live up to their idea of Brexit.
Brexit minister Steve Baker and two ministerial aides also resigned.
May's decision to brief Labour lawmakers on her Brexit plan, an apparent effort to try to count on opposition votes if her own side lets her down, has infuriated euroskeptic Tories.
Addressing parliament today, the Prime Minister told MPs: "We do not agree about the best way of delivering our shared commitment to honouring the result of the referendum".
Johnson's resignation was more perilous for May given his seniority in government.
The departures raise the stakes for May, who believed that she had secured a hard-won agreement with her deeply divided cabinet of ministers on Friday to keep the closest possible trading ties with the EU.
It leaves the four great offices of state - Prime Minister, Chancellor, Foreign Secretary, and Home Secretary - in the hands of ministers who voted to stay in the European Union, although in the case of Home Secretary Sajid Javid at least, with no great enthusiasm. Many Brexit campaigners in her Conservative Party say she has betrayed her promise to pursue a clean break with the EU.