The European champions recently reached an agreement to sign Dayot Upamecano from RB Leipzig and he is expected to replace the departing David Alaba.
The club are also bracing for the departure of Jerome Boateng when his contract expires in June and Tuttomercatoweb claims that they are keen on landing Koulibaly as the replacement.
Koulibaly has been with Napoli since the summer of 2014. He has been linked with a high-profile move to the Premier League in the past with both Chelsea and Manchester United.
Bayern are prepared to pay around £39m for the experienced centre-back, but that is way off the £80m asking price which was set by Napoli during last summer's transfer window.
The Serie A outfit are suffering financial losses amid the coronavirus pandemic and it is claimed that they may reach a compromise and accept a lesser fee for the defender.
The situation may put United on alert. Ole Gunnar Solskjaer is a huge admirer of the Senegal international and considers him as one of the top three centre-backs in the world.
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