The Mirror says Laporta, who spent seven years in Barca's big office until 2010, is the favourite to land the role next month.
And sources in Spain say an agreement is already in place between him and Bellerin's representatives to try to negotiate a deal with Arsenal that would see the right-back return to the club with whom he began his youth career.
A figure just north of £22million, with add-ons, has been discussed.
Right-back Bellerin, 25, arrived in north London to join Arsenal's academy as a 16-year-old, and has made over 200 appearances for the club.
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