Despite the day's remaining overs dwindling and the two holding fort, the visitors showed no desire to call it a day early.
Raymon Reifer's crucial double-wicket over to claim Carlos Brathwaite and Andre Russell helped Barbados Royals record their first win of CPL 2021.
The 2021 men's T20 World Cup is set to start from October 17 in the UAE, with the final for the 16-team tournament scheduled for November 14.
After a commanding 2-0 victory over West Indies in Tests, South Africa will be looking to carry forward that momentum into the five-match T20I series.