It has been a year since Chiesa joined Liverpool from Juventus, and there is a possibility that he will move again this summer.
Chiesa's future has been a topic of discussion for some time, with a return to Italy being a likely option.
Italian clubs AC Milan and Napoli are both interested in signing Chiesa, but Fulham and Celtic want to keep him in the UK for the upcoming season.
Both clubs are interested in taking Chiesa on loan for the new campaign.
Chiesa, 27, missed Liverpool's preseason tour in Asia due to a slight injury.
This has fueled speculation about his future, with some reports suggesting that he may move to Atalanta.
However, any transfer will depend on the sale of Ademola Lookman, who is currently at Atalanta on loan.