The Bavarians are ready to sit down with the versatile attacking midfielder to discuss his future, with the German reportedly unhappy amid links with Manchester United
The versatile attacker, who has been linked with a move to Manchester United under prospective new boss Louis van Gaal, is no longer an undisputed starter under Pep Guardiola and is believed to be unhappy with his situation at the Allianz Arena.
The Red Devils are thought to be monitoring the 24-year-old's situation at Bayern, with Van Gaal having handed the attacker his die Roten debut, and Rummenigge is ready to sit down with Muller and discuss his future.
"Muller's situation? If a player does not feel well at Bayern Munich, he should come to my office," Rummenigge was quoted as saying by Bild.
"We will have to talk about things like that."
Muller has a contract with Bayern until the summer of 2017. He has netted 13 goals in 30 Bundesliga appearances this term.