Fernando Muslera's future at Galatasaray will be decided this week
Antonio Conte is keen to bring in a new back-up goalkeeper to Thibaut Courtois next season.
Asmir Begovic's proposed move to Bournemouth in January fell through because Chelsea were unable to find a replacement in time.
But Begovic looks destined to depart this summer and Conte has apparently already made contact with Muslera as he views him as his No 1 target to replace the former Stoke keeper.
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And Turkish newspaper Milliyet claim the Uruguay international's future at Galatasaray will be decided this week in a budget conference.
Galatasaray were recently banned from UEFA competitions for failing to comply with strict Financial Fair Play regulations.
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And if their economic outlook hasn't improved they may be left with no choice but to sell Muslera.
Antonio Conte views Fernando Muslera as his No 1 transfer target to replace Asmir Begovic
Gala do not want to risk losing Muslera on a free transfer in 2018 when his contract expires, so will consider selling him this summer if he fails to fit in their plans.
It is claimed Gala will listen to offers of around £15million for the 30-year-old.
The report adds three other Galatasaray players are facing the chop with Bruma, Lionel Carole and Yasin Oztekin's contracts also set to be discussed.