In the summer, the 28-year-old was rumored to be interested in leaving the Cherries, with Sheffield United and Leeds United reportedly showing interest.
Instead, he stuck with Bournemouth, who have only given him one Premier League start this year.
He might have an opportunity to play again in Serie A with Napoli, according to Sky Sports. Although the talks are said to be in their early stages, it is thought that the Italian club has initiated contact with Bournemouth.
According to the article, Bournemouth understands his desire for minutes, but they are reportedly hesitant to approve a leave.
Billing moved from Huddersfield to the Cherries in 2019 for a reported £15 million. In West Yorkshire, he had experienced a quick ascent from an unproven prospect to a dependable member of the first squad.
After 91 games, he left with two assists and six goals to his credit. Since then, the midfield player has made 201 appearances for Bournemouth, recording 20 assists and 31 goals.