At 0630 GMT the rand was 0.04 percent weaker at 13.6200 per dollar, little changed from its close of 13.6150 on Friday in New York.
The rand has struggled to hold recent gains below the 13.60 technical resistance mark and is seen by traders drifting within a narrow range, with a topside target of 13.70.
With no major economic releases due locally, market attention first turns to a statement by the European Central Bank later in the session and the beginning of the US central bank's policy meeting on Tuesday.
Bonds opened firmer, with the yield on the benchmark paper due in 2026, down 0.5 basis points to 8.715 percent.
Stocks are set to open slightly lower at 0700 GMT, with the JSE securities exchange's Top-40 futures index falling 0.15 percent.