Bein Sport reports Al-Arabi are keen to tempt the Uruguay international to Qatar's competition. Contact with Suarez has already been established.
Now 33, Suarez has a contract with Barca to 2021, though a 12 month option will be triggered should he meet certain targets.
Al-Arabi coach Heimir Hallgrimsson is a big fan of Suarez and has personally requested his signing to the club's board.
The contact for now has been exploratory, with Al-Arabi sounding out the veteran about his interest in extending his career in Qatar and Asian football.