Sky Deutschland says the France attacker has refused Bayern's attempt to open new contract talks as he wants to make a summer switch to England.
Coman has been demanding a substantial salary increase and does not feel appreciated enough. He particularly wants to be at the same salary level as Leroy Sané - who was recruited from Manchester City last summer.
But that isn't the lone reason for his snub as the winger also now has his sights set on a move to England.
Watching developments closely are City and Manchester United, with the latter having made an attempt for him last summer.