Apparently Manchester United were so keen on buying Thomas Muller from Bayern, they made an outrageous bid.
The versatile player was repeatedly linked with a move away from Bayern, with Rummenigge admitting Manchester United made a mad offer for the forward.
But Rummenigge cited the importance of having home-grown players in the squad as a reason for passing up the offer.
“Thomas Muller came out of it [the youth academy]. [He is] born near Munich, formed here, the hero of the fans,” the Bayern chief told Frankfurter Allgemeine Zeitung.
“We had a mad offer from Manchester United last year, which was not a topic for one second.
“We could have secured a world-record transfer fee.”