Cesare Prandelli is being linked with Atalanta this week.
Atalanta coach Gian Piero Gasperini is under pressure with only one win and four defeats in the opening Serie A rounds of the season.
Gazzamercato says his job is now on the line after defeat to Palermo.
Options to take over include ex-Lazio coach Stefano Pioli and former Italy manager Prandelli.