Vietcombank sold the greenback 0.01% lower at VND26,410.
The dollar dropped 0.36% to VND27,620 on the black market.
Globally the U.S. dollar remained under pressure on Tuesday as weaker-than-expected manufacturing activity data from the world's biggest economy heaped pressure on the Federal Reserve to cut interest rates at its policy meeting later this month, Reuters reported.
The U.S. dollar index, which measures the greenback's strength against a basket of six major peers, edged lower to 99.408 at the start of the Asian trading session after falling for a seventh consecutive session to hit a two-week low during U.S. trading hours on Monday as stocks and bonds pulled back.
Against the yen, the dollar traded at 155.51 yen, unchanged from late U.S. levels, after Bank of Japan Governor Kazuo Ueda said on Monday that the central bank would consider the "pros and cons" of raising interest rates at its next policy meeting, sending Japanese two-year yields above 1% for the first time since 2008.