This story will be updated as new information becomes available.
The moves buy May a temporary reprieve.
The new statement came after Downing Street earlier said the DUP had agreed to the principles of an outline agreement to support a Conservative government.
Downing Street said an outline agreement on a "confidence and supply" arrangement had been reached which will be put to the Cabinet for discussion on Monday.
Some Conservative lawmakers called for May's joint chiefs of staff, Fiona Hill and Nick Timothy, to be sacked for their key role in the election campaign.
The prime minister has vowed to pull Britain out of Europe's single market in order to end mass migration from the bloc, despite fears of the economic impact.
With the 10 DUP MP seats, the Conservatives will now have just enough votes to put them over the threshold.
If May is to honour the wish of the 52 % of voters who opted previous year to take Britain out of the European Union, she must find a way to bridge the differences within her party.
"May won't be able to make any compromises because she lacks a broad parliamentary majority", he said.ANOTHER ELECTION?
Her party is deeply divided over what it wants from Brexit.
The Conservatives are expected to pick up some elements of the DUP's manifesto.
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"It was a disaster", he said. However, the Labour party won 40.3 per cent of the vote.
Matthew Goodwin, 35, a professor of politics at the University of Kent, is the co-author of 'Brexit: Why Britain voted to leave the European Union'.
Conservative lawmaker Anna Soubry said she should "consider her position", while another, Heidi Allen, said she may not last six months.
The Times of London said in an editorial that "the election appears to have been, among other things, a rejection of the vague but harshly worded prospectus for Brexit for which Mrs. May's departure from Downing St.is remorseless".
The British pound tumbled on Friday against the USA dollar and the euro before stabilising, down 1.7 and 1.4 percent against the two currencies respectively.After confirming on Friday that her top five ministers, including finance minister Philip Hammond, would keep their jobs, May must name the rest of her team, who will take on one of the most demanding jobs in recent British history. The DUP is a socially conservative pro-British Protestant group that opposes abortion and same-sex marriage and once appointed an environment minister who believes human-driven climate change is a myth.
"I sought, and to be fair to the prime minister, received a categoric assurance that in talking to the DUP that there would be no suggestion of any rollback on LGBTI rights in the rest of the United Kingdom", she told reporters.
British leader Theresa May sought to frame the campaign around her personal leadership heading into Brexit, but this was undermined by public performances derided as robotic. "I'm afraid she didn't have those qualities herself, but she hired people that didn't have them either".
There are many other issues with the DUP, and I am also concerned as to what this alliance would mean for so many Northern Ireland and Republic of Ireland citizens (our close allies), especially when entering Brexit negotiations.
She failed to express contrition for her gamble that spectacularly backfired, but newspaper headlines reflected the sense that she has been deeply wounded. "May stares into the abyss", wrote The Times, while Conservative-supporting The Sun tabloid said succinctly: "She's had her chips".
But she seems secure for the immediate future, because senior Conservatives don't want to plunge the party into a damaging leadership contest.
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