The Copa America Centenario is scheduled to take place between June 3 and June 26.
Tevez, 32, a former Premier League winner with both Manchester United and Manchester City, had left the European sides to join Argentine giants Boca Juniors last summer. The striker impressed as the side went on to lift the 2015 Primera Division title, but despite all the efforts, he doesn't feature in Martino's plan for the mega football tournament, which will feature 16 teams, this summer.
Manchester United's Sergio Romero and Marcos Rojo have made it to the list, along with former Red Devils winger Angel di Maria. It is being reported that Messi and Gonzalo Higuain will remain the two strikers to be deployed for Argentina during the tournament.
From Manchester City player Nicolas Otamendi has made the cut, while right-back Pablo Zabaleta doesn't feature as he has to undergo a surgery for an ankle injury.
Dybala, meanwhile, who scored 23 goals in 45 matches overall for Juventus this season and also helped the club to their fifth consecutive Serie A title, also hasn't made the cut.
Copa America Centenario squads: Argentina
Goalkeepers: Sergio Romero (Manchester United), Nahuel Guzman (Tigres), Mariano Andujar (Estudiantes).
Defenders: Facundo Roncaglia (Fiorentina), Marcos Rojo (Manchester United), Nicolas Otamendi (Manchester City), Ramiro Funes Mori (Everton), Gabriel Mercado (River), Jonatan Maidana (River), Victor Cuesta (Independiente).
Midfielders: Javier Mascherano (Barcelona), Augusto Fernández (Atlético Madrid), Matías Kranevitter (Atlético Madrid), Éver Banega (Sevilla), Lucas Biglia (Lazio), Erik Lamela (Tottenham), Javier Pastore (Paris Saint Germain).
Forwards: Lionel Messi (Barcelona), Gonzalo Higuaín (Napoli), Sergio Agüero (Manchester City), Angel Di María (Paris Saint Germain), Nicolás Gaitán (Benfica), Ezequiel Lavezzi (Hebei Fortune).