(CNN) British Prime Minister Theresa May tore up her Brexit strategy on Tuesday, declaring the UK would need to seek another delay to the process of leaving the European Union and offering cross-party talks to break the political deadlock.

In a momentous statement at Downing Street, ten days before the UK is due to leave the EU with or without an agreement, May said she would implement any deal that was agreed by a majority in the UK Parliament.

"This is a decisive moment in the story of these islands and it requires national unity to deliver the national interest," she said.

The opposition Labour leader, Jeremy Corbyn, accepted May's offer of talks, acknowledging the Prime Minister had shifted her position.

By offering to accept a compromise, May recognized that she will never be able to win round her supposed allies in the Northern Irish Democratic Unionist Party, nor a hard core of Brexiteers in her own Conservative Party. That decision, taken after a Cabinet meeting that lasted most of Tuesday, is certain to sow deep divisions on her own side.

British Prime Minister Theresa May speaks in Downing Street on Tuesday.

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