Agents of Lille attacker Nicolas Pepe were in Naples on Thursday.
Lille are seeking €80m to sell the Ivorian.
Sky Sport Italia says the three-hour meeting failed to reach a breakthrough.
Pepe's personal demands are regarded as too high by Napoli.
Lille are giving Napoli the priority, but Azzurri president Aurelio De Laurentiis will not match the kind of wages offered by Premier League sides.