British police identified her father, Urfan Sharif; his wife, Beinash Batool; and his brother, Faisal Malik; as people they wanted to speak to in the investigation.
The three flew to Pakistan on August 9, with the couple going into hiding in central Pakistan and police launching a manhunt.
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Sialkot police spokesperson Khan Mudassir confirmed the arrests on Wednesday.
He said the three were handed over to the Federal Investigation Agency, which flew them to Britain from Sialkot in eastern Punjab province. He gave no further details.