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Dominic Grieve. Photograph: BBC

Ministers have offered a concession in an attempt to quell a potential rebellion by Tory MPs that could have resulted in the first defeat on the EU withdrawal bill.

They are promising to review the way in which human rights would be affected by changes to the charter of fundamental rights caused by Brexit.

The promise comes after Dominic Grieve, the former attorney general, laid down an amendment with significant Tory support calling for the charter to be taken into UK law after the EU exit.

He has told the Guardian that he will not be pushing for a vote on the issue - which was winnable - following the assurance.