German Chancellor Angela Merkel, right, and British Prime Minister Theresa May, talk teach other after a meeting at the chancellery in Berlin, Germany, Tuesday, April 9, 2019. Prime Minister Theresa May will hold talks with the leaders of Germany and France ahead of a key Brexit summit this week. (AP Photo/Markus Schreiber)

BRUSSELS - Tough-guy France softened its stance Tuesday and showed willingness to accept yet another delay in the long-awaited Brexit, diminishing the chances that Britain would crash out of the European Union this week without any future plan.

But British Prime Minister Theresa May still has a rough day ahead of her as she heads to an emergency summit in Brussels on Wednesday to plead for a new Brexit extension — for the second time in three weeks. Such gatherings aren't getting any friendlier.

With nearly everyone fully resigned to Britain's departure from the European Union, two questions took centre stage Tuesday: How — and when — to get the U.K. politely out the door.

EU countries, especially France, have become increasingly exasperated with the political division and uncertainty in Britain about a way forward.

The bloc's leaders have tried to help May over the past two years of negotiations, even after she missed her hand-picked Brexit departure date on March 29 because of a parliamentary revolt. After obtaining a delay until Friday, she will be asking for another postponement that lasts until June 30 at the special EU summit.

On a charm offensive with key leaders, May flew first to Berlin Tuesday to plead for good terms with German Chancellor Angela Merkel, and then set off for Paris for an encounter with President Emmanuel Macron, seen as her counterpart with the toughest demands.

"France is really trying to play bad cop here," said Larissa Brunner, an analyst at European Policy Center, referring to French insistence that another extension to her deadline must come with strings attached and assurances from London.

However, an official in Macron's office said Tuesday that France was ready to accept a new delay.

While Macron still has a long list of conditions, it was a notable shift in France's tone compared to last week. The reason for the change was unclear, though concerns have been growing about how badly a hard Brexit would hit the French economy, too. France was also encouraged by May's outreach last week to Britain's political opposition to find a compromise, and Macron may have been swayed in part by a meeting with the Irish prime minister.

France, which has had a love-hate relationship with Britain for about 1,000 years, is now at the forefront to get the EU to take some decisive action.

"We won't be able to perpetually live with the exit of Brexit," French Foreign Minister Jean-Yves Le Drian said over the weekend. "At some point there is an exit."

Germany thinks likewise. "There isn't an endless readiness to keep talking about delays so long as there is no substantial progress on the British side," said Michael Roth, Germany's deputy foreign minister.

All eyes are now turned toward Macron, who has it in his power to force Britain to choose between a no-deal Brexit on Friday and cancelling its departure altogether. A drastic cliff-edge departure would have huge costs to businesses and trade across the English Channel and be very cumbersome to travellers as it would hit airports, ports, tariff rules and standard regulations overnight.

EU rules say that any extension to the Brexit deadline needs unanimity among the 27 other member states, and even if smaller member states would be hard-pressed to do it on their own, France has never shied away from being an EU leader — even at the expense of Britain.

After all, French President Charles De Gaulle twice vetoed British membership in the 1960s, and the two countries long fought tooth and nail over everything from farming to fishing rights to how much Britain should pay into the EU budget.

Add to that France's long-held championing of state oversight of the economy as opposed to Britain's staunch defence of free-market liberalism, and the potential for political infighting has always been there.

Among conditions France is now setting to agree to a new delay: A "credible prospect" of some kind of solution to the British political deadlock. A promise that Britain won't keep asking for more delays. And guarantees that Britain would not be involved in future EU decisions while its Brexit drama is playing out.

"The longer the extension might be, the more guarantees are needed," the French official said, speaking on condition he not be named in keeping with presidential policy.

Britain's Byzantine parliamentary disarray that has left Brexit in a state of a flux has added to continental annoyance.

"We are in a very, very frustrating situation here," Germany's Roth said as he arrived Tuesday at an EU meeting in Luxembourg. But, he added, a disorderly Brexit would be "the worst of all options on the table."

"So far absolutely nothing has changed," Roth said. "Within the European Union, there isn't an endless readiness to keep talking about delays so long as there is no substantial progress on the British side."

Every British initiative to get a deal has floundered so far. Several days of talks between May's Conservative government and the main opposition Labour Party tried to find a compromise Brexit deal have failed to produce a breakthrough. Labour favours a softer Brexit than the government has proposed, and wants to retain a close economic relationship with the bloc.

After further talks Tuesday over an informal lunch of sandwiches and sausage rolls, the two sides said they would resume their discussions after Wednesday's EU summit.

May's Downing Street office said the talks had been "productive and wide-ranging." Labour business spokeswoman Rebecca Long-Bailey said there had not been "any fundamental shift ... but we're hopeful that progress will be made."

For two years, March 29 was the date etched in law to get Brexit through. It has come and gone, and the new red line has become the May 23-26 European elections and the July 2 start of the new five-year EU legislative session.

European Council President Donald Tusk has offered up the possibility of a long-term delay, a one-year "flextension."

But some EU leaders worry that could have drawbacks — especially after British Brexit-backers suggested they would try to make life difficult for the EU.

Conservative lawmaker Mark Francois said that if the U.K. remained in the bloc, "then in return we will become a Trojan horse within the EU, which will utterly derail all your attempts to pursue a more federal project."

Little wonder EU leaders are looking for a true commitment of co-operation from May as a prerequisite for a long extension to the Brexit deadline.

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Geir Moulson in Berlin and Danica Kirka and Jill Lawless in London contributed to this report.

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