Recent reports suggested that Galatasaray had offered Manchester City €3m to sign the Brazilian international goalkeeper.
However, it appears that Ederson has agreed to terms with the Turkish football club.
According to local sources, the clubs now need to discuss and agree on the transfer fee.
In the past, Ederson had been linked with other clubs, including Al-Ittihad and Fenerbahce, who are rivals of Galatasaray.