The Latest on Britain's exit from the European Union (all times local):

9:35 a.m.

British Prime Minister Theresa May is set for a marathon session with her Cabinet as the government tries to find a way out of the Brexit crisis, after lawmakers again rejected all alternatives to her European Union withdrawal agreement.

European Union Chief Brexit Negotiator Michel Barnier addresses the European Parliament Foreign Affairs Committee in Brussels, Belgium April 2, 2019. (Photos: VCG)

The Cabinet is scheduled to meet for five hours Tuesday amid calls for compromise to prevent a potentially devastating no-deal exit in just 10 days.

The government is pushing for a fourth vote on May's deal, with Education Secretary Damian Hinds saying the agreement already represents a compromise between all sides in the Brexit debate.

Hinds tells the BBC that the deal "is a good balance, and I hope colleagues can get behind it."

Parliament on Monday rejected four alternatives, with proposals for a customs union failing by three votes.

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8:40 a.m.

EU chief negotiator Michel Barnier says that Britain's exit from the European Union without a deal "becomes day after day more likely" after the U.K. parliament again rejected alternatives to the government's unpopular divorce deal.

Despite the downbeat assessment, Barnier did say that "we can still hope to avoid it" through intensive work in London ahead of an April 10 summit. A no-deal Brexit could come as soon two days after that.

Despite the difficulties of a chaotic exit, "the EU will be able to manage," Barnier said, although he warned that "not everything will be smooth."

Exit without a deal would affect trade and travel overnight, with new checks on borders and new regulations on dealings between Britain and the 27 remaining EU nations.

Cover image: A supporter of Brexit holds a sign saying 'Just hoot, we voted leave' while others continue with their daily activities outside the Houses of Parliament in Westminster, London, ahead of the latest round of debates in the House of Commons concerning Brexit issues, Monday April 1, 2019. (Photo: AP)