The Bavarian club could hand their main striker a new deal, and look set to make a move for their Bundesliga rivals' highly rated playmaker
Jupp Heynckes' side are flying high at the top of the Bundesliga, with the Germany international striker bagging 10 goals so far this season.
Bild indicates that Liverpool tabled a €30 million bid for the 26-year-old hitman back in April, and that a number of Spanish clubs are also interested in bringing him to La Liga.
With the former Stuttgart forward's contract due to expire in June 2013, the Bavarian outfit are set to try and prolong Gomez's stay at the Allianz Arena.
Meanwhile, president Uli Hoeness has, in the past, admitted an interest in attacking midfielder Gotze, and may be ready to make a concrete offer for the 19-year-old in the next transfer window, according to the German newspaper.
With Dortmund starting the 2011-12 campaign slowly, the opportunity to move to Munich may appeal to the starlet.
Bayer Leverkusen are next up for Bayern Munich on Saturday, before Manchester City travel to Germany the following Tuesday for a mouth-watering Champions League clash.