Acheampong broke into Chelsea's first team under Mauricio Pochettino and has shown promise. Bournemouth is looking to strengthen their defense after losing Dean Huijsen to Real Madrid earlier in the summer.
The club is also facing the possibility of losing Illia Zabarnyi to PSG. Acheampong is seeking assurances about playing time at Chelsea, but the club is not considering selling him.
Bournemouth had previously made a bid for Lille's Bafode Diakite, but it was rejected. The club is now exploring other options to improve their defense.