Marouane Fellaini met with Arsenal chief Sven Mislintat before committing to a new deal with Manchester United.
Fellaini signed a two-year contract with United yesterday.
The Times says a meeting with head of recruitment Mislintat convinced Fellaini that joining the Emirates outfit would have been a bad idea.
Instead, he promised to stay and fight for a place at Old Trafford - where he must compete with new signing Fred.
Arsenal have made some signings this summer already, with Stephan Lichtsteiner and Bernd Leno already being confirmed.
Lucas Torreira and Sokratis are also in the pipeline and will agree moves.