During his last season, Petrovic was on loan with Strasbourg. The club's president, Marc Keller, had previously stated that he expected Chelsea to sell the Serbian goalkeeper.
Bournemouth's interest in Petrovic comes after they had Kepa Arrizabalaga on loan from Chelsea last season. The Spanish goalkeeper has since been transferred to Arsenal.
As talks continue, Chelsea is expected to demand a significant fee, reportedly around £25 million, to sell Petrovic to Bournemouth.