At 0841 GMT, the rand traded at 14.0300 per dollar, 0.41 percent firmer than its New York close on Tuesday.
The currency, however, was slightly off the 14.0100 mark, its firmest level since Feb. 28, that it touched on Tuesday supported by a weaker dollar.
"The rand is once again trading positively, but it has again failed to test the 14.0000 level after having traded to 14.0100; demand for dollars saw it trade weaker into the local close," Nedbank analysts said in a note.
"Today, markets are contemplating the possible effects of an escalation in tensions between the US and the EU regarding imports between the two, and the IMF cutting its global growth outlook."
Business confidence data due at 0930 GMT on Wednesday and mining and manufacturing production figures on Thursday are the main data points to watch locally.
In fixed income, the yield on the benchmark government bond due in 2026. was down 1.5 basis points to 8.48 percent in early trade.