Vietcombank sold the dollar 0.08% lower at VND26,320.
The State Bank of Vietnam brought down its reference rate by 0.05% to VND25,179.
On the black market the greenback remained unchanged at VND26,450.
Globally the dollar traded in a tight range on Tuesday after a brief fall at the start of the week, as investors watched out for any progress on trade talks ahead of an August 1 deadline for countries to strike deals with the U.S. or face steep tariffs, Reuters reported.
The yen mostly held to gains from the previous session following results from a weekend upper house election in Japan that proved no worse than what had already been priced in, as focus now turns to how quickly Tokyo can strike a trade deal with Washington and Prime Minister Shigeru Ishiba's future at the helm.
The dollar was last steady after slipping in the previous session due in part to the yen's rise and a dip in U.S. Treasury yields, leaving sterling trading 0.03% lower at $1.3488.
The euro fell 0.12% to $1.1684, with focus also on a rate decision by the European Central Bank later this week, where expectations are for policymakers to stand pat on rates.
The European Union is exploring a broader set of possible counter measures against the United States as prospects for an acceptable trade agreement with Washington fade, according to EU diplomats.
Against a basket of currencies, the dollar rose slightly to 97.94, after having fallen 0.6% on Monday.