Vietcombank sold the greenback at VND26,050, a 0.12% increase over the weekend. The currency also rose at unofficial exchange points, up 0.34% to around VND26,500.
The State Bank of Vietnam kept its reference rate stable at VND25,627.
Globally, major currencies traded in tight ranges on Monday at the start of a busy week of central bank decisions and corporate earnings, while a pullback in oil prices and Treasury yields weighed on the dollar, Reuters reported.
The dollar index, which measures the US currency against a basket of peers, was little changed at 101.65.
The euro rose 0.15% against the greenback to $1.1218, amid relief that France was spared a Moody's downgrade despite social unrest.
Sterling strengthened 0.1% to $1.3379. The Japanese yen was steady at 156.92 per dollar.
Five major central banks will announce closely watched policy decisions later in the week, with the US Federal Reserve, the European Central Bank and the Bank of Japan all expected to hold rates steady.
New Zealand and Canada's central banks, meanwhile, are expected to raise rates this week.