The tweet, which the General Motors-owned car manufacturer claims was removed "within a minute", showed a team sheet which contained the information.
Sent out by the @VauxhallEngland handle to its 73,100 followers, before being removed it is reported to have been retweeted by both Stan Collymore and the Press Association among others.
As well as being reported widely in the mainstream media, the gaffe also drew widespread reaction online.
Vauxhall referred media enquiries to specialist sport consultancy Macesport, which it hired in 2011 to handle sponsorship of the Home Nations' football teams.
Macesport MD Paul Mace told PRWeek that the team sheets had initially been handed out to media, VIPs and corporate figures before the match by organisers of the game without the passport details being removed as per usual.
However, he added: "We realised we made a mistake immediately and the tweet was deleted from our account within a minute. We have apologised to the FA for any embarrassment caused."