The 24-year-old midfielder is reported to have turned down a deal worth €12 million per-season from the French giants.
Gündoğan was closely linked with Barcelona and Bayern Munich but both clubs are reported to have cooled interest in the Germany international.
In a recent turn of events Gündoğan’s agent has revealed the possibility that he could extend his contract at the club.
Dortmund CEO Hans-Joachim Watzke also said that there was a chance that Gündoğan would extend his contract with the club.
“Maybe there is still a chance that he has a rethink,” Dortmund’s general manager Hans-Joachim Watzke told WAZ.
Gündoğan rejected previous contract extension talks are reportedly turned down a deal worth €6 million per-season.
The 24-year-old still has another year left on his contract but Dortmund want to secure a new contract if Gündoğan does decide to stay next season in order to avoid another Robert Lewandowski situation.
The Polish international did not renew his contract and ended up joining rivals Bayern Munich on a free transfer last season.