Born in Chacabuco, Buenos Aires, Coscia began playing professional football with Estudiantes de La Plata in the Primera División.
[1] In 1975, Coscia moved abroad to play for Mexican Primera División side Atlético Potosino for two seasons.
[2] When his contract expired, Coscia returned to Argentina to play for Club Atlético River Plate.
In 1979, Coscia joined San Lorenzo de Almagro and would play in the club's final match at Estadio Gasómetro, a 0–0 draw with Club Atlético Boca Juniors where Coscia had a penalty kick saved by Hugo Gatti.
[4] Coscia made several appearances for the Argentina national football team and participated in the 1979 Copa América.