He was twice Argentine Champion; in 1940 he won a match for the title (of 1939) against Luis Piazzini (8 : 6), then lost a match to Carlos Guimard (1 : 8) in 1941 (for the title of 1940), and won the title (of 1950) after play-off with Jacobo Bolbochán and Heinrich Reinhardt in 1951.
In 1928, he tied for 4-5th in Mar del Plata International Chess Tournament (Roberto Grau won). In 1931, he won ahead of Savielly Tartakower in Buenos Aires (Geniol it). In 1934/35 he took 16th in South American Chess Championship in Buenos Aires (Piazzini won). In 1938, he tied for 5-6th in Montevideo (Carrasco, Alexander Alekhine won). In 1948, he won in Santa Fe.
He participated in first and second South American zonal tournaments. He took 3rd, after Erich Eliskases and Julio Bolbochán, at Mar del Plata / Buenos Aires 1951, and tied for 11-12th at Mar del Plata / Buenos Aires 1954 (Oscar Panno won).
Maderna played for Argentina in two Chess Olympiads:
- From Mundo del Ajedrez, March 1976, p. 51-52; but '25 January', according to Ajedrez Revista Mensual, July 1976, p. 504.
- "Major Tournaments and Argentine Chess Championships (notes in Spanish)". Archived from the original on 2009-10-25.
- Amsterdam (NED-ch10th) 1938 Archived 2010-12-15 at the Wayback Machine
- OlimpBase :: the encyclopaedia of team chess