But with May's personal authority in tatters, there were reports that moves were afoot within her Conservative Party to dislodge her, while opposition Labour leader Jeremy Corbyn was insisting she could be ousted and he could replace her.
The Prime Minister lost her majority and Ukip lost its leader in a disastrous General Election for both parties.
May is under pressure after the Conservatives lost their parliamentary majority in Thursday's election.
Labour Party has won the seat of Bedford from the Conservatives in the 2017 General Election with Pakistani-origin candidate Mohammad Yasin winning 46.8% of the vote (22,712) which is a 6.6% increase from 2015.
Corbyn would be unlikely to win backing for a minority government, but was clearly reveling in a storming performance after pundits had pronounced the Labour Party all but dead. Conservative Party loyalists urged her to change her leadership style, while critics talked about her days being numbered.
Asked Sunday if she is now just a caretaker leader, May noted that "I said during the election campaign that if elected I would intend to serve a full term".
Labour MP Jo Stevens said the prospect of Mrs May's party doing a deal with the DUP was "chilling", after Tory former cabinet minister Owen Paterson said his party may have to enter "a debate I suppose on further reduction of abortion times as medical science advances".
Iran twin attacks mastermind killed, says minister
The Iranian Intelligence Ministry has announced that the mastermind behind the Tehran terrorist attacks has been killed .
The strong showing by the Labour Party, which has advocated for closer ties with the European Union single market, is an indication the British are wary of breaking away sharply from the bloc.
It was an election that no party won. "The party that has lost is the Conservative Party, the arguments it put forward in this election have lost".
Speaking after visiting Buckingham Palace on Friday, she said only her party had the "legitimacy" to govern, despite falling eight seats short of a majority, the BBC reported. I'm very proud to lead this party.
Describing it as a "confidence and supply deal" rather than a coalition, a spokesman for Downing Street said Saturday night the DUP "have agreed to the principles of an outline agreement to support the Conservative Government on a confidence and supply basis when Parliament returns next week".
On Twitter, Siegfried Muresan, spokesman for the European Parliament's largest grouping, the European People's Party, said, "EU did not want #Brexit, but has been prepared to negotiate it since past year".
Instead, the cynically conceived June 8 poll resulted in a disaster for Conservative politics in Britain.
Damian Green, the former work and pensions secretary, was named first secretary of state - effectively the deputy prime minister. "It is vital for the stability of the province that its devolved government is reactivated as swiftly as possible, and also so Northern Irish residents have the leadership to represent their interests on issues such as cross-border policy".
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