Manchester City want to keep hold of Ederson this month but have Gianluigi Donnarumma in their sights were the Brazilian to depart.
Galatasaray have been interested in the 31-year-old and are believed to be ready to make an approach.
City insist that there has been no contact from any potential suitors, with Pep Guardiola hopeful that his No 1 stays for the final year of his contract.
Donnarumma's days at Paris Saint-Germain are numbered after being jettisoned by Luis Enrique, despite playing a crucial role in their run to winning the Champions League last season.
City have been weighing up the possibility of a switch for the Italy international in the eventuality of Ederson looking elsewhere over the coming weeks.
Ederson himself said in June that he sees his immediate future at the Etihad Stadium and branded suggestions of a switch away as '99 per cent fake news'.
Pep Guardiola (right) wants to keep his long-standing No 1 Ederson at Man City this term
This is despite City's interest in signing PSG's £40million-rated keeper Gianluigi Donnarumma
Galatasaray have shown an interest in Ederson and are believed to be ready to make a move
City would reluctantly allow the former Benfica stopper, a mainstay since joining in 2017, to move on were a suitable offer to arise.
Stefan Ortega's future is still to be resolved, with the German currently No 3 behind new signing James Trafford, who re-joined from Burnley.
Guardiola used Ederson and Trafford for 45 minutes each during the weekend friendly against Palermo and had planned for the pair to push each other this term.