Vostro account is the fuller name for what the Vostro entry calls simply a vostro: an account a domestic bank holds, in its own local currency, on behalf of a foreign bank. The foreign bank uses this account to make and receive payments in that local currency without needing its own branch or licence in the country. The two phrases describe the same arrangement; "vostro account" is the plain-English version a reader is more likely to type into a search box, while "vostro" alone is the shorthand used day to day in correspondent banking and treasury operations.
The word comes from the Italian for "yours", reflecting the domestic bank's point of view: this is the foreign bank's money, held here. The full explanation of how a vostro account is opened, how it mirrors a Nostro on the foreign bank's own books, and how balances are reconciled is covered in the main Vostro entry.
A bank in New York that holds a US-dollar account for a Pakistani bank is holding a vostro account from the New York bank's side; the same account is a nostro account from the Pakistani bank's side, since it is the Pakistani bank's own money held abroad. For how vostro accounts fit into the wider Correspondent Banking Relationship (CBR) and how they relate to a loro account, see the main Vostro entry.