The centre-back was heavily linked with the Hammers last summer and a move looked a possibility, but it ultimately did not come to fruition.
Milenkovic ended up signing a new contract with Fiorentina but it runs only until the summer of next year and a transfer is again in the offing.
West Ham are again interested in a move for the centre-back and have been joined in the hunt by Manchester United.
Italian giants Juventus are also interested in the centre-back however, with them having already snatched Dusan Vlahovic from Fiorentina in January.
And now the Turin club have started initial talks with the centre-back’s agent Ramadani over the possibility of a move in the summer.
Milenkovic has been a pillar in the heart of the Fiorentina defence and has helped them push for European qualification next season.
The centre-back has made 26 appearances in the league this season and he has been involved in only two defeats since December, while missing only one game.
