LONDON — Britain’s exit from the European Union hung in the balance on Monday as Prime Minister Theresa May tried to coax the Labour Party into agreeing a divorce deal, two days before an emergency EU summit where she will try to delay the April 12 departure.

Brexit has already been delayed once but May is asking the EU for yet more time as she courts veteran socialist Jeremy Corbyn, whose Labour Party wants to keep Britain more closely tied to the bloc after Brexit.

May heads to Berlin and Paris on Tuesday to meet Chancellor Angela Merkel and President Emmanuel Macron and will be phoning other leaders before setting out the case for another delay at Wednesday’s EU summit in Brussels.

Nearly three years after the United Kingdom shocked the world by voting by 52 percent to 48 to leave the EU, May warned that Brexit might never happen, but said that she would do everything possible to make sure that it did.

Labour’s Brexit point man, Keir Starmer, said May’s government had so far not changed its position on Brexit and so no way forward had been agreed.

“Both us and the government have approached this in the spirit of trying to find a way forward. We haven’t found that yet. We will continue to do that,” Starmer said.

“The ball is the government’s court,” he added. “We need to see what they come back with and, when they do, we will take a collective position on that.”

May’s spokeswoman said she hoped further formal talks could take place later on Monday, adding: “The PM wants us to be able to agree with the opposition as soon as possible.”

She said May wanted Britain to have an independent trading policy — something hard to reconcile with Labour’s demand for membership of a customs union — and that both sides would need to compromise.

The deputy political editor of the Telegraph newspaper, Steven Swinford, said Labour and the Conservative government were still discussing both a customs union and the idea of holding a confirmatory referendum on any deal they agree.

The 2016 referendum revealed a United Kingdom divided over much more than EU membership, and has sparked impassioned debate about everything from secession and immigration to capitalism, empire and what it means to be British.

Yet, more than a week after Britain was originally supposed to have left the EU, nothing is resolved as the weakest leader in a generation battles to get a divorce deal ratified by a deadlocked parliament.

EU leaders, fatigued by the serpentine Brexit crisis, must decide on Wednesday whether to grant May, who has asked for a postponement until June 30, a further delay. The decision can be vetoed by any of the other 27 member states.

Without an extension, the United Kingdom is due to leave the EU at 2200 GMT on Friday, without a deal to cushion the economic shock.

While the EU is not expected to trigger such a potentially disorderly no-deal exit, diplomats said all options were on the table — from refusing a delay to granting May’s request or pushing for a longer postponement.

The EU’s chief Brexit negotiator, Michel Barnier, was on Monday meeting Prime Minister Leo Varadkar in Ireland, which depends heavily on Britain as both a market and a transit point and would be hit hardest by a no-deal Brexit.

But May is boxed in at home: Brexit-supporting lawmaker Mark Francois demanded she resign and called on the party to vote on forcing her out - even though there is no formal provision for this before December.

As the crisis grinds on, one survey suggested that voters wanted a strong leader willing to force through reform of a political system that has been found badly wanting by Brexit.

Research by the Hansard Society found that 54 percent of voters wanted a strong leader willing to break the rules, while 72 percent said the political system needed “quite a lot” or “a great deal” of improvement. — Reuters