Stiller, 19, has only been playing for Bayern’s second team since January and is not yet training with the seniors.
In his eight appearances at reserve level, Stiller has drawn attention to himself with his tenacity and clever passing.
According to their own information, SPORT BILD has learned of a ‘specific interest’ from Mikel Arteta’s Arsenal.
In addition to the Premier League giants, Bundesliga and 2. Bundesliga teams have shown interest in the Munich-born defensive midfielder.
The left-footer is under contract at Bayern Munich until 2021 and would prefer to assert himself at his local club.
However, Stiller wants to gain professional experience as soon as possible and may be faced with a decision.
One possibility for Stiller is for him to leave in the summer, with Bayern retaining a buy-back option.