Gerardo Martino has left the striker out of his 28-strong squad but there is a place in the panel for Juventus starlet Paulo Dybala.
Napoli forward Gonzalo Huguain was a notable absentee from Argentina's squad for its upcoming World Cup qualifiers against Ecuador and Paraguay.
The 27-year-old missed his country's friendlies against Bolovia and Mexico earlier this month due to a stomach bug but has since been playing regularly for his club.
Indeed, the striker scored two goals in Monday's 5-0 thrashing of Serie A rival Lazio, taking his tally to four goals from as many appearances so far this season.