Emirates club wanted rising star.
Arsenal had a record £35million offer rejected by Borussia Dortmund for midfielder Mario Gotze on deadline day.
Gunners boss Arsene Wenger was determined to land a marquee signing and wanted the 19-year-old to fill the boots of departed captain Cesc Fabregas.
The German international took the Bundesliga by storm last last season, bagging six goals and 11 assists, helping his side win the league.
But Dortmund turned down the offer from Arsenal as they were not prepared to weaken their side, according to German newspaper Bild.
Arsenal will get to have a very close viewing of the playmaker when the two sides meet this season in the Champions League group stage.
This was one reason why the German club refused to do business, with the other that they would not have enough time to find a replacement.
The news came as a second blow to Wenger who also saw a £22million bid rejected for Rennes midfielder Yann M’Vila.
Instead the manager switched his attentions to Mikel Arteta and Yossi Benayoun and was fortunate to clinch their signatures on the eve of the transfer deadline.