Inter Milan were said to have had a 10m offer rejected for him and Milan too have been associated with the attacking midfielder.
"There was contact from Milan for Stephan, but Genoa underlined that they intended to bring him home so that he could play for them next season," agent Roberto La Florio told MilanNews.it.
"I've not had any real contact with Milan. There was a phone call, but not about anything in particular.
"I don't know what will happen. I know that the Rossoblu and Milan have a good relationship, but I am under the impression that Genoa want to keep him at all costs."