The Mirror reports that the Gunners have made an enquiry for the 22-year-old forward.
Arsenal boss Arsene Wenger could make a move for the Brazil forward in the January transfer window.
Italian giants Juventus are also keeping tabs on Damiao’s situation at Internacional and are keen to sign the forward next summer.
Tottenham failed with a £15million bid for Damiao in the summer, but could make a new move in January.