The most senior British official in charge of negotiating the U.K.'s exit from the European Union (EU) resigned from his post on Sunday, according to reports from various British media outlets.

Brexit Secretary David Davis reportedly resigned after a meeting with British Prime Minister Theresa May that frustrated him, according to Reuters. His deputy Steve Baker reportedly resigned with him.

At the meeting, May pressed Davis and other government officials to back her plan for maintaining close trade ties with the EU, Reuters reported.

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Another minister may be leaving soon as well, the BBC reported.

May won the backing of her Cabinet on Friday for a plan that would create a "U.K.-EU free trade area." May's government has been deeply divided over the issue of Brexit, and Davis's departure will rock a party already struggling from significant internal disagreements.

While May has supported a "softer" exit from the EU, which leaves room for trade and continued financial ties with the bloc, many conservatives prefer a total break.

Davis's exist comes a week ahead of President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE's first presidential visit to the U.K. on July 13.

May and Trump will likely discuss the future of trade between the U.S. and U.K.