It has been a memorable first season at Stamford Bridge for Conte thus far with Chelsea opening up a 10-point lead at the top of the Premier League ahead of this weekend's round of fixtures.
However, reports in the Italian media suggested Conte is unsettled in London with his family remaining in Italy.
The former Juventus boss was consequently linked with a move to San Siro, but the 47-year-old insists that his future remains in London and that he is planning for the long term at Chelsea.
Conte was asked at a press conference ahead of Chelsea's encounter with West Ham on Monday if Inter had made an offer, to which he replied: "Me personally? No, no.
"I think my situation is very clear. I have a contract with Chelsea. [I am] trying to build something important with the club, for the present, for the future and I think the situation is very clear."
Bonjour, bonjour! Training is underway at Cobham... pic.twitter.com/ynAoYxf0YC— Chelsea FC (@ChelseaFC) March 3, 2017
Conte told the Evening Standard this week of his hope to move his wife and daughter to London and he once again spoke of the importance of having his family around him.
"I am happy for sure, the only problem for me this season is the family is missing me for sure," he added on Friday.
"My family stayed in Italy and, yeah, I am working for the future, to bring them here and to stay together because for sure the family is missing me, this is true."