According to Bony's representative, Dalibor Lacina, the Ivory Coast striker is now a January target for the Blues and Reds.
"Liverpool are one of the clubs who have been considering him," Lacina told isport.blesk.cz. "We have been in touch with them.
"Liverpool need a striker to increase their scoring productivity but, on the other hand, it does not mean we are in talks with them. They are just one of the suitors.
"It is clear that Bony has attracted interest thanks to his good performances and scoring efficiency and one of the clubs interested as well are Chelsea.
"Vitesse have certain ambitions and it would be difficult for them to see Bony go. If I had to give my opinion on whether he leaves in January, I see it as 50-50."