The Italian only extended his Blues deal until 2019 after revealing plans to move wife Elisabetta and daughter Vittoria to England.
Conte hinted a move to the San Siro could be next for him, telling Radio Anch'io Sport: “I have a longing for Italy, that's beyond any doubt.
“It's not in my head to stay abroad for too long. It's good to have beautiful experiences, but I intend to go back to Italy one day.
“China? No, absolutely not. Bundesliga? It's always difficult to predict the future. Let's just say that a coach is a temporary worker.
“It depends on the results, but there's desire on my part to try to do the best I can, finishing one project and then finding the right one to continue. I miss Italy, that's a fact.
“Still, this experience is helping me so much. I'd also like to become a sporting director in the future."