The moves buy May a temporary reprieve. May confirmed to German Chancellor Angela Merkel in a phone call that Britain was ready to begin Brexit negotiations "as planned in the next couple of weeks", reassuring EU leaders who had expressed doubts after her heavy electoral losses European Council President Donald Tusk had warned there was "no time to lose" in starting Brexit talks, after May on March 29 started the two-year countdown to ending Britain's four-decade membership.
A confidence and supply deal would mean them backing the Government on its Budget and confidence motions, but could potentially lead to other issues being decided on a vote-by-vote basis.
The DUP were as "surprised as anybody" by Downing Street's original announcement, the BBC understands.
But media reports suggest they had demanded the departure of May's joint chiefs of staff, Nick Timothy and Fiona Hill, as the price for allowing the 60-year-old vicar's daughter to stay in office.
The Conservative Party's unexpected slip in seats and loss of majority as a result of last week's elections has made Tory MPs "furious", and "it's just how long she is going to remain on death row", Mr Osborne says.
The Prime Minister was forced to perform an unprecedented U-turn within days of the publication of the Tory manifesto by announcing that there would be a cap on social care costs, something that had been absent in the original policy document.
With the new government set to present its legislative program to parliament on June 19, the clock is ticking on efforts to bolster the Conservatives' position after they won just 318 of the 650 seats in the House of Commons.
In her post-election reshuffle, May said she appointed ministers that reflect "the wealth of talent and experience across the Conservative Party".
Could privatizing air traffic control cost passengers more?
Instead of taxes, the outfit would be funded by user fees, which is how Canada has financed air-traffic services since 1996. This would slow down enhancements and possibly compromise safety to fix a system that's not broken.
"It was a disaster", he said. When her party manifesto came out, however, the public opinion against some policies started to grow at an alarming rate, even among the party faithful.
May has struggled to reassert her authority after losing her parliamentary majority in Thursday's snap election, which she had been under no pressure to call.
On Brexit, Mr Corbyn said he wants a "jobs-first Brexit" negotiated as quickly as possible along with guaranteeing the post-Brexit rights of European Union nationals living in the UK. "Of course, we don't know when that's going to happen, and I don't think we should rush that", she told ITV's Peston on Sunday. "May sought a mandate". She's now attempting to form a government. However, foreign secretary Boris Johnson says Mrs May is the "best-placed person" to lead the United Kingdom and worldwide trade secretary Liam Fox says he has "absolute faith" in the prime minister.
The arrangement with the DUP will make governing easier, but it makes some Conservatives uneasy.
However, its roots are apparent in its vehement opposition to gay marriage, abortion and Irish language rights.
The DUP was founded in the 1970s by the late firebrand preacher Ian Paisley, and in the 1980s was a key player in the "Save Ulster from Sodomy" campaign, which unsuccessfully fought against the legalization of gay sex. "That's not a matter for me", she said.
"I've listened to a lot of people and the idea of a hard Brexit, the idea that no deal was better than a bad deal - people did not like that".
The main opposition Labour Party took 262. "This is still on", Corbyn told the Sunday Mirror newspaper. "May stares into the abyss", wrote The Times, while Conservative-supporting The Sun tabloid said succinctly: "She's had her chips". Seven of them belong to labour party and three to conservatives.