Vietcombank sold the greenback 0.01% higher at VND26,361. On the black market the dollar dropped 0.47% to VND27,750.
Globally the U.S. dollar softened on Monday as signs the federal government could soon reopen buoyed investor confidence after a string of weak economic data, Reuters reported.
The dollar index, which tracks the greenback's strength against a basket of six major currencies, slid 0.1% to 99.643 after the Senate voted to advance a measure that could fund the U.S. government through January.
"This is just in the nick of time," said Tony Sycamore, market analyst at IG in Sydney. "The retreat we saw in the U.S. dollar into the end of last week probably continues now."
"The consumer confidence data was a shocker and pretty clear evidence that the shutdown was affecting households, so this does alleviate the damage that's been done," Sycamore added, referring to the prospect of an end to the shutdown.