Udinese midfielder Giampiero Pinzi doesn't feel Oriundi should be allowed to play for Italy even if they are Lionel Messi.
Italy boss Cesare Prandelli handed a debut to the Brazilian born Inter midfielder Thiago Motta in a friendly against Germany on Wednesday.
He has also included the likes of Amauri and Cristian Ledesma in previous squads.
"Thiago Motta is a good player, we know that," Pinzi said. "But a national team like Italy which has won the World Cup four times doesn't have to fit in Oriundi.
"I wouldn't even call up Messi. We don't need extra help. I can't explain the reasons behind saying 'no' to Antonio Di Natale. He is the best Italian striker."
Think you know your Italian football? Share your knowledge, tips and comments to win cash prizes in OLBG's tipster competition  - £5,000 monthly.