The rand, which hit a new 4-year low of 9.15 against the dollar on Monday, was at 9.0850 at 0645 GMT, 0.2 percent stronger than Monday's New York close.
South Africa's minerals department said late on Monday the government, labour unions and Amplats had agreed to postpone a restructuring plan that could lead to 14,000 job cuts to allow for more talks.
Chris Griffiths, chief executive of Amplats, the world's largest platinum producer, said on Tuesday that consultations with the South African government had been "constructive."
"The rand is a little bit stronger on the back of the Amplats announcement last night," said Warrick Butler, a trader at Standard Bank.
Butler added foreign participation in the bond market was likely to influence the rand this week.
"As far as the way forward, a lot will depend on the bond market's performance, which really was the main driver yesterday," he said.
The rand's weakness "was more a result of investors getting out of some of their long bond positions of which there are an abundance."
Government bonds were weaker, with the yield on the 2026 bond gaining 3.5 basis points to 7.485 percent and that on the 2015 issue 2 basis points higher at 5.45 percent.