Isco has returned to Real Madrid hungry to fight for his first-team spot and earn his future at the club, according to Marca.
Zinedine Zidane is thought to be a keen admirer of Isco but equally would not block a transfer should a big-money offer come in from elsewhere.
Last month, Marca reported that Madrid were open to selling the playmaker but would not be prepared to push an exit.
Juventus, Milan and Manchester City have been among the clubs linked to the Spain international but no formal offer has yet been made, the report added.
Previous reports have cited former Juve midfielder Andrea Pirlo, who has said: “Juventus need a player like Isco, immediately.”
The 26-year-old had been frozen out of the starting XI by previous Madrid boss Santiago Solari – not starting a match across La Liga or the Champions League under the Frenchman’s predecessor.
Isco has a contract at the Santiago Bernabeu until 2021 but found the net just three times in a mere 11 La Liga starts last season, with his future appearing to be in the balance.
It appears unlikely that the former Malaga playmaker will be a regular in Madrid’s line-up next season while any sale would be a reluctant one.