Chiesa is currently on the sidelines as Liverpool is on a preseason tour in Hong Kong. A minor injury is the reason for his absence.
Italian sports media reports that Atalanta is ready to make a move to bring Chiesa back to Serie A for the new season.
The main obstacle to a potential deal is Chiesa's €5m annual salary, which is higher than Atalanta's budget. Chiesa may need to accept a pay cut or negotiate with Liverpool to cover part of his wages.