May's botched election gamble cost her Conservative Party its majority in the 650-seat parliament last week, weakening her hand just days before talks with the European Union on a divorce that has to be agreed before an exit due in March 2019, Reuters reported.
May has dismissed calls to resign following the dismal election result and on Monday faced her MPs and vowed to govern.
Both the Conservative Party and the DUP were now focused on finalising the "terms and conditions" of the deal following a meeting between May and DUP leader Arlene Foster on Tuesday, the DUP source told the channel. Government bond prices suffered heavy losses on Tuesday after consumer price inflation jumped to 2.9 percent in May. The difference between those two approaches is that with a "hard Brexit", May wouldn't have to make any concessions on immigration, the Customs Union, or the single market.
May made clear the Brexit negotiations would begin next despite uncertainty.
"My preoccupation is that time is passing, it is passing quicker than anyone believes because the subjects we have to deal with are extraordinarily complex..." That's why we're ready to start very quickly.
"We stand at a critical time with those Brexit negotiations starting only next week - I think that stability is important.
But it remains another question if I'll still witness this", added the 74-year-old.Asked about Schaeuble's comments, Macron said the EU's door was still open for Britain as long as the negotiations were not finished, but that it would be hard to reverse course.
"We would restore faith in politics if we could show that this parliament can at least function in presenting a view in the national interest which would command a majority on a cross-party basis", said pro-European Conservative lawmaker Ken Clarke.
The talks are being closely watched in European capitals as they could delay the expected start of Brexit negotiations next week, as well as change Britain's entire approach to its EU withdrawal.
The source said the talks to leave the European Union would not be delayed, removing the question mark over the negotiations being derailed by May's lack of a parliamentary majority lost in an election she did not need to call.
A working dinner between the British premier and her Europhile counterpart - a Brussels favourite - will be followed by their attendance at a friendly football match between England and France. "We know each other and we understand each other", she said.
"Going overseas and being seen to be the prime minister and talking to the president of France, being seen to be wheeler-dealing on the global stage, is a classic move to shore up authority at home", he told AFP.
He confirmed they had also discussed the possibility of a referendum on Irish unity. They will announce joint plans to fine social media companies such as Facebook, Twitter and Google if they fail to remove extremist content from their websites.
"I would expect that conversation to continue tomorrow".
May's government has said its Brexit plans remain the same, and her Brexit minister David Davis will be pressing for close economic ties but a clear break with the bloc to be able to control immigration and restore sovereignty over British laws.