The two leaders are now taking questions from reporters.

Asked about the talks with the DUP, Theresa May says the government is "absolutely steadfast" in its commitment to the agreements that led to power-sharing in Northern Ireland.

We are intent on enabling the parties to work together to restore the executive at Stormont, she adds.

Mrs May says a deal with the DUP is important to achieve the "stability" the country needs.

Will the election result in the UK lead to a softer Brexit?

President Macron won't really be drawn on that. He says he wants talks to begin as soon as possible, but Europe doesn't want to spend its energy discussing Brexit.

We want to talk about the future between our two countries, to carry on at a bilateral level with the challenges we both face, he adds.

Theresa May says there's "a unity of purpose" in the UK among all people, Leave and Remain, to get on with Brexit and make a success of it.

"With willingness and intent on both sides we will see an arrangement for Brexit that will be in the intersts of both the UK and the 27 other EU states," the PM adds.

On Brexit, Mrs May says she has confirmed to President Macron that the timetable for Brexit negotiations remains "on course" and talks will begin as planned next week.

Theresa May talks about the recent terror attacks in London and Paris, offering her condolences to the families of the three French citizens killed on London Bridge earlier this month - and to relatives of Nick Alexander, the British man killed at the Bataclan in 2015.

She says she and President Macron agree that more should be done to tackle extremism online, and their countries will work together to encourage internet companies to do more.

A joint UK-French campaign will explore creating "a legal liability" for companies if they fail to take steps to remove terrorist content.

This was the moment the PM's papers blew onto the floor at the start of her press conference with President Macron.

It was a horrible, unscripted start for her but she appeared to regain her composure pretty quickly.

Peter Barnes
BBC political analyst

Once again the polls, taken as a whole, were not a good guide to the election result.

Over the course of the campaign the gap between the main two parties narrowed but, with one exception, the final polls all suggested a clearer Conservative lead than the actual outcome.

Having said that, it wasn't an unmitigated disaster. Every poll throughout the campaign put the Conservatives ahead - and that was indeed the result.

The final polls were fairly accurate about the Conservative and Lib Dem shares. It was Labour where they were uniformly wrong. They also overestimated UKIP and the SNP. Read more

The two main protagonists are now arriving. As host, it will be the French president Emmanuel Macron who speaks first.

However, it doesn't get off to a very good start as several pages of Mrs May's remarks are blown off the rostrum and fall onto the floor.

She looks a little bit embarassed by this but Mr Macron gallantly helps the prime minister retrieve them.

Home Secretary Amber Rudd and Ed Llewellyn, the UK's ambassador to France and former aide to David Cameron, have taken their seats so we can't be too far away now.

It looks like the French and British leaders will be speaking to the assembled press corps shortly.

Journalists are gathered in the grounds of the Elysee Palace on what looks like a rather pleasant evening in Paris.

The rostrums are in place although the action seems a few minutes away.

A bit more from Jeremy Corbyn. He told his MPs the government is in "complete disarray still unable to reach an agreement, it seems, with the DUP and desperately delaying the Queen’s Speech and Brexit negotiations".

He went on: "This is a government on notice from the voters.

"Theresa May has no mandate and no legitimacy for policies that do not have the support of the majority of the British people.

"We are now a government in waiting and we must think and act at all times with that in mind."

Image source, PA

The Labour leader - given a rapturous reception, as we noted a moment ago - has, we understand, said the following to his MPs in the last few minutes.

“Last Thursday, we turned the tables on Theresa May’s gamble and gained seats in every region and nation of Britain and I’m particularly delighted that we have increased our representation in Scotland.

"So now the election is over, the next phase of our campaign to win power for the majority has already begun. We must remain in permanent campaign mode on a general election footing."

Mr Corbyn said the party must maintain "unity and collective discipline in the weeks and months ahead".

And he added: "We will continue to take the fight to the Tories and I will be out campaigning around the country in Conservative marginals in those extra seats we need to gain to deliver the government for the many that almost 13 million people voted for last week."

Image source, Reuters

The former chancellor says the government risks losing its economic credibility. Read more.

Some of the snippets YouGov pick out - the wording is theirs:

• Class is no longer the dividing line in British politics - ABC1 and C2DE vote for any party is about the same…
• whereas age matters much more - Britain’s young overwhelmingly vote Labour, while older Brits vote Tory
• Young people still far less likely to vote than their elders - 58% among 18-24-year-olds compared to 79% among 60+
• Education level another key divider: the more highly educated someone is, the more likely they are to vote Lab/LD
• Working people were more likely to vote Lab than Con - retired people were the only group that backed the Tories
• Men were more likely to vote Tory than Labour (45/39), while women were evenly split 43/43

Paul Maskey, from Sinn Fein, says "any agreement reached with the DUP can't be to the detriment of anyone else in our society".

He says any deal has to be "agreed by the Stormont Executive once it is back up and running".

Sinn Fein MPs are currently holding a press conference. The first question to them? Are you wedded to your abstentionist position, given the role the DUP look set to play at Westminster?

Sinn Fein, remember, don't take up their seats in the Commons.

MP Paul Maskey answers. "Almost a quarter of a million people voted for us... they give us that mandate not to take our seats," he says. "People knew we were abstentionist MPs, they elected us to represent them, but not to take our seats."

Mr Maskey says Sinn Fein voters have also "turned their back on Westminster because they know it doesn't work well".

"I don't think any of us have any itchy feet to come over to Westminster and take our seats," he adds.

Brussels reveals plans to keep the lucrative industry in the EU following Brexit.