Stábile coached Argentina to six South American Championship trophies: in 1941, 1945, 1946, 1947, 1955 and 1957. After the first round exit at the 1958 World Cup, where Argentina lost the last of its three matches with 1–6 to Czechoslovakia, his time with the national side came to a halt. He was called back to the helm of Argentina in 1960 and he led Argentina in the third and last edition of the Panamerican Football Championship, which took place in Costa Rica.