Parma are suggesting that they could make a summer bid to keep Amauri at the Stadio Ennio Tardini.
The Brazilian is currently on loan at the club from Juventus and has scored seven goals in 11 games since his January arrival.
Amauri was set to return to Turin at the end of the campaign, but the Gialloblu may try to sign him on a permanent basis.
"Amauri is a stratospheric player, extraordinary," Parma President Tommaso Ghirardi noted after the 1-0 win over Juve.
"Will he stay? You can never say never in this game. With this environment, anything is possible."
Ghirardi is set to do some business with Juventus this summer anyway as he's likely to buy a 50 per cent stake in Sebastian Giovinco.
The latter is on loan from the Old Lady and scored his third goal of the season against them yesterday afternoon.
See the latest Serie A predictions and betting tips with Eurotips.co.uk