The rand was steady against the dollar in quiet trade late on Monday afternoon.
"It's a public holiday in the US and the UK, so the rand hasn't really done anything today," a local currency trader said.
"The euro has been at almost the same level against the dollar for the whole day and rand moves have really been order driven," he added.
"There's still a lot of uncertainty when it comes to Greece, so any news around that country will be important for the euro/dollar and the rand."
At 15:32 local time, the rand was bid at 6.9084 against the dollar from 6.9164 at Friday's close. It was bid at 9.8848 to the euro from 9.8561 before, and at 11.3881 against the sterling from 11.4275 previously.
The euro was at US$1.4282 from US$1.4295.
Meanwhile, Dow Jones Newswires reported that currency markets were steady on Monday in European hours as bank holidays in both the UK and the US contributed to thin volumes and quiet trading, although the dollar had regained some of the ground it had lost at the end of last week.
The euro was lower across the board, pressured by continued sovereign debt woes. Reports over the weekend claimed that Greece had missed its fiscal targets, and although this was later denied by the International Monetary Fund (IMF), it still added to pressure on the currency.
"Greece remains on a rocky road towards the disbursement of the next tranche of IMF/European Union (EU) bailout money [EUR12 billion total], as progress made on the political front has been very modest so far," said Credit Agricole in a note to clients.
Adding to the negative euro tone, European Central Bank (ECB) executive board member Lorenzo Bini Smaghi warned against the dangers of a possible restructuring of Greek debt yet again, this time in an interview with a UK newspaper.
The warning comes as market participants try to gauge how euro-area officials plan to deal with the Mediterranean country's debt burden. Speculation included a new aid package for the country, but market participants said the plan could only be viable if Greece could demonstrate a greater commitment to reducing its bloated fiscal burden.
A delegation from the IMF was in the country, examining whether Greece had done enough to get the next tranche of its bailout package. The results were expected to be announced later this week.
"Their conclusions will be crucial in setting out the next steps for the crisis currently riddling the country and the euro area," said the Royal Bank of Canada in a note to clients.
Another report over the weekend said that the possible new aid package to Greece would include unprecedented outside involvement in the country's tax collection system and privatisation plans, as well as incentives for private creditors to ease Greece's debt burden on a voluntary basis.
"We already know Greece has slipped with respect to this year's targets, so key to watch will be the assessment of the latest measures and privatisation plans," RBC added.
The dollar was in positive territory after Friday's sharp sell-off petered out in Asian hours and helped the greenback regain some ground against other major currencies. The buck was sold off heavily at the end of last week, slipping about 1.3% over two days.
The main data event for the dollar this week was the release of non-farm payrolls on Friday, with economists expecting the US economy to have added 185,000 jobs in May.
"If realised, this will be the slowest jobs growth in four months after the prior three months averaged 233,300," Rabobank said in a note to clients, adding that the number could disappoint those hoping to see the economy steadily gaining momentum.
