Corriere dello Sport says Milan coach Leonardo sees the Holland international as an ideal addition for next season.
Leonardo plans to play a 4-3-3 system and is convinced Robben would be ideal.
Milan chiefs Adriano Galliani and Ariedo Braida met with Dzeko in Sarajevo a fortnight ago and struck personal terms, says Tuttosport.
Galliani faxed an approach to Wolfsburg last week and expects a response before Monday. He has put aside £20 million to bring Dzeko to Serie A.