At 0700 GMT the local unit had gained 0.04 percent to 11.5950 versus the greenback, little changed from a close of 11.6000 in New York.
The local unit traded close to its weakest level in six years last week after the US economy recorded its quickest expansion in five years, with investors already fretting over South Africa's weak economic fundamentals opting to buy the dollar.
Yields on local bonds were flat in early trade, with the benchmark paper due in 2026 unmoved at 8.05 percent.
South Africa's revenue services releases November trade figures on Tuesday, with a Reuters poll of economists expecting the deficit to narrow to 7 billion rand after yawning to over 21 billion in the previous month.
Falling exports and productivity disrupted by labour stoppages and erratic power supply have dragged the rand almost 25 percent lower against the dollar in 2014.
Signs of a continued recovery in the US economy and a cooling-off of the Chinese economy is expected to weigh on sentiment toward riskier developing market assets like South Africa heading into 2015.