It is better not to assume that a passport will be sufficient.
For example, Vietcombank states that its current accounts are accessible to Vietnamese citizens as well as foreigners holding a valid visa and the documents required by Vietnamese regulations.
For foreigners, the bank may also require a visit to the branch for certain verifications.
This is particularly the case for biometric procedures: Vietcombank states that foreign clients must present themselves at the branch with their passport and documents proving the validity of their stay.
Vietly Advice: wait until you have stabilized your administrative situation in Vietnam before choosing your main bank.