The local currency was quoted at 1,113.6 per dollar at 0025 GMT, compared to Friday's domestic close at 1,111.4. Traders have been cautious to push the won higher on possible intervention after the won hit its highest intraday level this year last Friday.
Markets were closed on Monday due to a major national holiday.
The benchmark Korea Composite Stock Price Index was up 0.2 percent.
December futures on three-year treasury bonds were unchanged at 106.24.