Vietcombank sold the dollar at VND23,630, down 0.13% from Sunday.
Eximbank and Techcombank kept their rates unchanged at VND23,620 and VND23,645, respectively.
The State Bank of Vietnam raised its reference rate by 0.02% to VND23,684.
The greenback was sold at VND23,475 on the black market, up 0.11%.
The dollar has fallen against the dong by 0.42% since the beginning of the year.
Globally the dollar nursed losses against the yen and euro on Monday following a surprise breakdown in U.S. debt ceiling negotiations and after Federal Reserve chair Jerome Powell indicated a preference to slow rate hikes, Reuters reported.
The greenback slipped 0.15% to 137.715 yen at the start of the week, having snapped a six-day winning streak on Friday and pulling back from a six-month peak.
The euro added 0.14% to $1.0822, extending Friday’s advance, when it bounced off a seven-week low.
Investors now await a key meeting between U.S. President Joe Biden and House Republican Speaker Kevin McCarthy to discuss the debt ceiling on Monday.