She said she had spoken with Prime Minister Theresa May Theresa May this morning adding, "we will enter discussions with the Conservatives to explore how it may be possible to bring stability to our nation at this time of great challenge".
"I can still be prime minister", Corbyn said.
"What I'm doing now is actually getting on with the immediate job".
Voter turnout in the election was up from 66 percent in 2015 to nearly 69 percent, and 500,000 more young people registered to vote than before the last election.
Mrs May declared her determination to carry on in Downing Street for a full five-year term after getting permission from the Queen to form a government, even though she has lost her Commons majority.
Upheaval for ruling Conservative Party? "I believe that's important".
Although May's Conservatives have won more seats than any other party, she did not cross the line that would have given her a majority government.
Former Treasury chief George Osborne - who was sacked by May previous year - called May a "dead woman walking", and Labour leader Jeremy Corbyn said he was ready to contest another election at any time.
"I think it's pretty clear who won this election", he said at Labour's headquarters in central London.
But she seems secure for the immediate future, because senior Conservatives don't want to plunge the party into a damaging leadership contest.
"Honestly, it feels nearly like she is nearly not aware of what has happened in the last 24 hours", Conservative lawmaker Heidi Allen told LBC radio.
Regardless of Fallon's claims, a growing number of Conservatives are said to be "absolutely furious" with May for putting their jobs on the line for the sake of strengthening her hand overseas in Brexit talks.
That timeline now looks even more ambitious than before, not least because May's electoral debacle has emboldened those within her own party who object to her "hard Brexit" approach of leaving the European single market and customs union.
After Thursday's stunning seat loss, Sturgeon told the BBC that a "post-Brexit uncertainty" was a factor in people's voting choices and "certainly the independence referendum is part of that".
Whilst this was campaign rhetoric created to drive support for her party, it also suggested she saw little prospect of forming a coalition with other parties, nearly all of whom are opposed to her Brexit strategy built around leaving the EU's single market, controlling immigration and escaping the jurisdiction of European Union courts. May then called a snap election hoping for a bigger majority to strengthen her hand in negotiations. She has not yet made a public commitment to joining a formal coalition which could see DUP MPs having roles in the government.
The DUP used a controversial veto mechanism to block any change to legislation in Northern Ireland.
"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.
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.
The DUP now finds itself a long way from its foundation in 1971 by firebrand Protestant evangelical preacher Ian Paisley to defend Northern Ireland's union with Britain against demands for a united Ireland.
Separately, The Daily Telegraph reported on Saturday that Davidson's aides "are working on a deal that would see the Scottish party break away to form a separate organisation".
High-profile casualties of a night of shock defeats included Liberal Democrat former leader and ex-deputy prime minister Nick Clegg in Sheffield Hallam, SNP former first minister Alex Salmond in Banff & Buchan and the SNP's leader in Westminster Angus Robertson in Moray.
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