Il Corriere dello Sport says De Laurentiis was spotted driving up to the home of Mertens, where he remained for an hour.
They discussed a new contract for the Belgium international, who is ready to accept a major pay-cut.
He currently earns €4.5m-a-season and there is an option to extend, which Napoli will not activate.
Instead, De Laurentiis wants Mertens to pen a new deal worth €1.2m-a-season plus bonuses, including an option to extend for the 2023-24 campaign.
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