Not sure if Mane will return to Liverpool in a transfer or buy-back, but if only on loan it seems a possibility. After all, Mane also at Bayern Munich doesn't have a good bond with other players maybe only with Sane, because with disputes between players, of course their gameplay is not optimal. But from different information, I read that Mane will probably play in the Saudi Professional League whether that's true or not, but I personally feel that Mane will still stay at Bayern Munich.
Currently there are still rumors regarding the possibility of Mane returning to the Premier League. because it is rumored that there are a number of clubs that want him, including Chelsea, which they feel are quite aggressively hoping for Mane to strengthen their squad. Indeed, Mane's future at Bayern may no longer be hopeful because his career there tends to be not good enough, especially injuries. And finally, because he had a dispute with his team-mate during the match against Man City.