"The new cabinet obviously will meet early next week, our view of Brexit I don't think has changed", Defence Secretary Michael Fallon told the BBC, adding he believed the government would be able to muster parliamentary support for its Brexit plans.
May called the election to try to strengthen her hand in Brexit talks, but her party lost its majority in parliament.
Instead, she has left Britain's government ranks in disarray, days before the divorce negotiations are due to start on June 19.
There had been doubts cast over her leadership after she paid a heavy price for her gamble to overturn the UK's Fixed Term Parliament Act and call a snap general election ahead of the fixed time-frame it would have been held in 2020.
Nationally, the Tories won 318 seats to Labour's 262 - eight short of a majority.
However, following an impassioned month of campaigning by Jeremy Corbyn, Labour's avowedly left-wing leader, the election on 8 June 2017 delivered a hung parliament in which the Conservatives lost their majority and Labour saw the greatest increase in its share of the vote since 1945.
The Conservatives will remain the largest party with the most number of seats, meaning they will have the first chance to form a government.
However, a midnight statement from the DUP said that talks on a confidence and supply agreement were ongoing, but had been positive.
Democratic Unionist Party deputy leader Nigel Dodds, at right, and leader Arlene Foster, celebrate Dodds winning his Belfast North seat.
"I can still be Prime Minister".
Blasts rock besieged city as Philippines marks independence day
Muslims make up only about 5% of the country's population overall but a larger proportion, estimated at 20 to 40%, on Mindanao. Maute joined forces with Isnilon Hapilon, who was a year ago proclaimed by Islamic State as its Southeast Asia "emir".
"As we are the party that won most seats and most votes, we are the only party that is in a position to form a government that can do that".
His party "didn't win the election", Corbyn says, but he is prepared to continue resisting the Conservative agenda - especially what's known as "hard Brexit", a clean break with the European Union and departure from its single market system.
The DUP is opposed to abortion rights and same-sex marriage.
Under pressure from Conservative cabinet ministers, May accepted the resignation of her two top aides, her co-chiefs of staff Nick Timothy and Fiona Hill, on Saturday.
The 1998 Good Friday agreement set up power sharing in Northern Ireland, largely ending years of sectarian violence.
And although it has a female leader, it remains an overwhelmingly male, white bastion and is certainly more conservative than the Conservatives.
"It's an issue very close to my heart and one that I wanted categoric assurances from the prime minister on, and I received (them)", said Davidson, who is engaged to be married to her female partner.
The politicians who've felt the wrath of voters include Home Secretary Amber Rudd, who clings to her seat by just 300 votes. "I certainly think that there will be contact made over the weekend but I think it is too soon to talk about what we're going to do", she said.
DUP leaders do not support a hard Brexit. Its cartoon depicted May in a coffin with her feet sticking out and a speech bubble saying "Nothing has changed", a line she repeated several times as she reversed a key policy on social care during the campaign."The Conservatives have not yet broken the British system of democracy, but through their hubris and incompetence they have managed to make a mockery of it", it said in an editorial.
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