The versatile player is happy with life in Germany, but has admitted that he could opt to move if his chances of a regular starting position are put under threat
The Germany international is no longer an undisputed starter at the Bundesliga giants due to the stiff competition for places, and Sport Bild reports that the Nerazzurri are ready to make a move for the midfielder ahead of the 2012-13 campaign.
"I am solely focusing on the upcoming Euro at the moment. Everybody knows that Bayern have always been my club, so I'm not really thinking about moving on. However, I'm not in a situation at Bayern where I won't listen to offers," Muller stated to Sport Bild.
"I'm the type of player who will deal with this like a professional and will try to help the team. However, I will not happily accept being benched in big games regularly. I'm too ambitious for that.
"Staying at Bayern my entire life? I can impossibly say something about that until I'm dead."
The 22-year-old Muller has a contract with Bayern until the summer of 2015.