After starting his career in Argentina, he played 295 games for Internazionale of Italy between 1931 and 1943, scoring 86 goals for the club, also serving as the team's captain between 1940 and 1943.

Demaría also played for Gimnasia de La Plata, Estudiantil Porteño and Club Atlético Independiente in Argentina and Novara, Legnano and Cosenza in Italy.

Demaría represented the Argentina national team on three occasions between 1930 and 1931, and took part in the 1930 World Cup, winning a runners-up medal.

His younger brother Félix Demaría also played football professionally, including a season for Ambrosiana-Inter.

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