The Italian champions are one of many clubs queuing up to sign the Cameroon keeper from the Amsterdam club
Inter have joined the race to sign Ajax's Andre Onana, who has less than 12 months left on his current contract.
Arsenal, Tottenham, Lyon and Borussia Dortmund have all shown an interest in the Cameroon international in the last few months, but a doping ban has scuppered any possible moves.
The ban has since been reduced on appeal allowing the 25-year-old to play from November, and the Dutch giants are aware they are set to lose the goalkeeper and now target earning a fee from a January sale.
Editors' Picks
Six times African giants missed out on the World Cup
Growing pains or immaturity? McKennie's status 'remains to be seen' as USMNT face cycle-defining Honduras trip
2022 World Cup Qualifiers: Super Eagles land in Sao Vicente for Cape Verde clash
Chelsea beaten with Heath & Foord to come: Have Arsenal solved their big-game hoodoo?
What have Ajax said?
Director of Football Marc Overmars spoke about his side's former No 1: "You can never say never in football [about him renewing his contract], but at the moment I do not see that he extends his contract with us.
"We have been very clear. We have spent a lot of time negotiating to extend his contract, but it did not work. We then gave him the space to move during the summer and it did not work either. He can leave in January, otherwise he will leave for free next June."
Who could win the race?
Arsenal have signed goalkeeper Aaron Ramsdale for £24m ($33m) from Bournemouth after opting against a player subject to a FIFA ban.
They may yet look to Onana again should they opt to push Bernd Leno out in the coming months. Meanwhile, Onana's agent Albert Botines has spoken publicly about a possible move to Lyon.
Equally, Dortmund and Tottenham have signed alternative options but Nuno Espirito Santo's side have only added Pierluigi Gollini on loan from Atalanta - albeit with an option to buy at the end of the season.
Premier League is 'best in the world' - Ex-Gunner Torreira
Onana was previously valued at around £15 million ($21m) but that price tag is likely to plummet in January with so little time left on his contract.
Although he is free to sign on a pre-contract ahead of a free transfer move in the summer from January 1, any club willing to pay a fee may steal a march to sign the shot stopper.
