With the Tories falling short of the 326 seats needed to form a majority government, Theresa May could look to secure to support of a smaller party to shore up her power.
Front and center among many questions facing May's new government is the matter of Brexit.
"I am backing Theresa May".
"I would have thought that's enough to go, actually, and make way for a government that will be truly representative of all the people of this country".
May has been pressing for a so-called "hard" Brexit, which would include leaving the EU's massive collective market and no longer allowing European Union citizens to come and live and work freely in the United Kingdom.
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".
He said: "We're in an era of open, honest politics".
Both stepped down amid calls for the Prime Minister to sack them or face a leadership challenge on Monday.More news: Family tradition: Dillon puts No. 3 back in Victory Lane
May confirmed she meant to start talks with the Europeans on June 19 as planned, promising to "get to work". The Conservatives sought, as they have done this time, a 'who governs Britain?' mandate.
European Council President Donald Tusk had warned there was "no time to lose" in starting Brexit talks, after May on 29 March started the two-year countdown to ending Britain's four-decade membership. "Do your best to avoid a no deal as result of no negotiations".
Sterling plunged against the dollar and the euro on Friday as the election result created even more uncertainty over the whole Brexit process.
"How do you negotiate when you know that the position of the partner that you're negotiating with is extremely weak?" says Klaas of the London School of Economics.
The unexpected election result appears to have seen a boost in popularity for Jeremy Corbyn and the Labour party.
The DUP is skeptical of Europe and is pro-Brexit.
Brexit is likely to be the key issue, with the DUP keen to avoid a hard border with the Republic of Ireland after the United Kingdom leaves the European Union.
In practice, she requires a working majority of only 322 MPs because Sinn Fein - who now have seven seats - abstains from Westminster and the Speaker does not vote in Parliament.
Most importantly of all, the DUP's attitude to Brexit is uncompromising, if slightly different to the Tories.
"I don't think Theresa May and this government have any credibility", Corbyn told the Sunday Mirror, predicting that there could be another election within months.