The South American section of the 1962 FIFA World Cup qualification saw 7 teams competing 3 berths in the finals. Among the 7 teams, Paraguay were drawn to play in the CONMEBOL / CCCF / NAFC Intercontinental Play-off. The remaining 6 teams were divided into 3 groups of 2 teams each. The teams played against each other on a home-and-away basis. The group winners would qualify. Brazil did not participate, as they were granted a spot in the finals after winning the 1958 World Cup and Chile did not participate, as hosts. Venezuela did not enter the tournament.
Argentina qualified.
Uruguay qualified.
Colombia qualified.
References
1962 FIFA World Cup qualification (CONMEBOL) Wikipedia(Text) CC BY-SA