Napoli are believe to be preparing a €14m (£12m) bid for Maxime Gonalons in the wake of Lyon's Champions League exit to Real Sociedad.
The Partenopei have already had one bid rejected for the French international this summer, but according to TuttoNapoli.net the club have not given up hope.
Napoli boss Rafael Benitez has already furnished his squad with 10 new signings since the £54m sale of Edinson Cavani to Paris Saint-Germain.
Gonalons, who operates as a defensive midfielder, has also been linked with Arsenal this summer, but the 24-year-old has expressed a desire to stay at the Stade de Gerland.
The Ligue 1 side failed to qualify for the group stages of the Champions League following last night's 2-0 defeat at the Estadio Anoeta.