"We are starting", Barnier said on Twitter.
After House Speaker John Bercow was re-elected without challenge, a chastened May quipped: "At least someone got a landslide".
The EU negotiator did not see any reason to push back the two-year talks process set to end in June 2019.
Jeremy Corbyn, leader of the opposition Labour Party, which saw its number of parliamentary seats and share of the vote increase, said there could be another election this year or early in 2018 after last Thursday's vote produced no clear victor. "We never put timescales on when we expect a deal to be done and I'm not going to start now". Thus we must begin this negotiation.
The leader of the Social Democrats, Gianni Pittella, preferred to congratulate the Labour leader, Jeremy Corbyn, and his "magnificent victory".
"I confirmed to President Macron that the timetable for the Brexit negotiation remains on course and will begin next week", Ms May said after her meeting with the new French leader, who will be a key player in the Brexit talks.
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He said: "If we work seriously, I see neither the usefulness nor the interest of pushing back this date. Why?"
Yesterday, May had faced the tough 1922 Committee of her party's backbench MPs amid a brewing rebellion within the ranks after her gamble to call a snap general election backfired, leaving the Tories eight seats short of a majority.
Parliament now "deserves a say", he said, adding that there was "perhaps an opportunity to consult more widely with the other parties on how best we can achieve it".
Divisions over Europe helped sink the premierships of Margaret Thatcher, Major and Cameron, and many of her lawmakers and party membership support a sharp break with the EU.
Even the idea of an alliance is complicated, however.
The former Prime Minister called the peace process "fragile" and said that it could fall apart if the British Government doesn't remain "impartial".
Mike Zimmer says eye is doing great
He estimates the bubble should be gone in seven to 10 days, but until that happens he is still under "no fly" directives. Safety Harrison Smith agreed. "I think that has been really big", Bradford said. "It was hard for me.
"I want to record my deep-seated concern and, I believe, the deep-seated concern of many, not just in Scotland but across the United Kingdom right now, at the prospect of some sort of grubby deal between the Tories and the DUP to allow Theresa May to cling to office", she said.
The stakes for May are high.
"There is wide spread concern that Theresa May in seeking a deal with the DUP to remain in office will make the job of re-establishing the Executive more hard".
He also pointed out that three months after Article 50 had been triggered, formal discussions had yet to start.
"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", he added.
Police negotiating with armed man at Melbourne home
There are also reports the man has trapped himself inside the building with another woman and multiple children as hostages. It is believed the man attempted to exit the house earlier but ran back inside as officers surrounded the property.
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