Alaba, 28, has just one year remaining on his Bayern deal and there are indications he could be ready to move.
And Pep Guardiola, who coached the Austrian international during his time in Munich, is reportedly interested.
Guardiola has identified City’s left-back position as one in need of work. Benjamin Mendy has been inconsistent while Oleksandr Zinchenko hasn’t always convinced.
City are pondering an approach for Alaba, but may have doubts over his age, contract demands and Bayern’s asking price.
Alaba is one of Europe’s best full-backs although has been used in a central defensive position this season.