There are seven Bayern representatives in Low's initial squad, including Thomas Muller, Mats Hummels, Sebastian Rudy and Joshua Kimmich, but four players will have to be cut when the coach names his final 23.
Goalkeeper Manuel Neuer and uncapped striker Nils Petersen on Tuesday made it to Germany's 27-member provisional football squad for the 2018 FIFA World Cup, whereas attacking midfielder Mario Goetze and striker Sandro Wagner were excluded by head coach Joachim Loew.
Low, however, has included the Bayern Munich goalkeeper Manuel Neuer despite has not featured since September were he suffered a foot injury.
The 32-year-old could make a high-profile return in Bayern's DFB-Pokal showdown with Eintracht Frankfurt on Saturday, while Germany have scheduled pre-tournament friendlies against Austria and Saudi Arabia.
Loew has included the Bayern Munich goalkeeper in his provisional squad, along with Barcelona's Marc-Andre ter Stegen, Bayer Leverkusen's Bernd Leno and PSG stopper Kevin Trapp.More news: At least 40 people killed in storm-related incidents across the country
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Arsenal defender Shkodran Mustafi and Liverpool midfielder Emre Can have both been snubbed too, while Sven Ulreich, who has played nearly the whole season with Bayern Munich, has been left out.
However, Loew pulled a surprise by handing a first call-up to Freiburg striker Nils Petersen, 29, the top-scoring German in the Bundesliga this season with 15 goals.
Manchester City's Leroy Sane and Ilkay Gundogan are among the Premier League players to be selected.
Reus, meanwhile, appears to finally have a chance to play in a World Cup, having returned to form and fitness at Borussia Dortmund since his comeback from injury in February.