The phrase “1937 South American Championship play‑off” does not correspond to a widely documented or recognized event in the historical record of South American football. The 1937 South American Championship (now known as the Copa América) was held in Buenos Aires, Argentina, and was conducted as a single‑round robin tournament in which each of the participating teams (Argentina, Brazil, Uruguay, and Paraguay) played each other once. The final standings were determined solely by points accrued in those matches, and no separate play‑off or tie‑breaking match was recorded in contemporary sources.
Because reliable encyclopedic sources do not reference a distinct “play‑off” associated with the 1937 edition, the term lacks sufficient verifiable information to be treated as an established concept. Any speculation about a possible tie‑breaker or additional match would be unsupported by the historical record.