Sane was heavily linked with the Bundesliga giants over the summer, but a move failed to materialise after he was ruled out for seven months in August with an ACL injury.
SPOX says the Bundesliga giants are still hopeful of bringing the Germany international to the Allianz Arena next summer.
By then, the winger would have returned to full fitness and will have entered the final year of his current contract.
Bayern bosses were recently pictured meeting with leading Italian agent Giovanni Branchini, with a move for the 23-year-old understood to be top of the agenda.
Branchini has close links with the German club and Bild reported that he met with Sane's agent David Gardner last month to discuss a transfer.