Hummels has won seven major trophies, including three consecutive Bundesliga titles with Bayern since signing in 2016.
The World Cup winner began his career with the German champions before making the move to Dortmund in 2009, following a successful year on loan there.
And according to Sky Germany, he is in advanced talks to make another return for £27m, with centre-back partner Jerome Boateng also set to leave Allianz Arena this summer.
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