The Germany international has been strongly linked with a move to the Catalan giants and Muller admits he is flattered by the reports.
“I have not been in touch with Barcelona,” Muller told Sky Deutschland.
“I do not have to feel ashamed being linked to club like Barcelona. But there was nothing in between me and that club.
“Everyone who knows me is aware Bayern Munich is deep down in my heart.
“I have the desire to stay a player of Bayern Munich for a very long period of time.”
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.