The events appeared in a newspaper on Tuesday, claiming West Brom players had traded blows after losing a stoppage-time goal to their fellow Premier League strugglers.
Albion released a statement playing down the bust-up and refuting claims Saido Berahino suffered a head injury as team-mates traded blows.
A mistake from the England U21 striker, moments after West Brom had gone 3-2 ahead, led to Cardiff rescuing an unlikely point.
But while Albion verified there was a heated exchange among the players, the club insists the incident has been blown out of proportion.
"Tensions were understandably running high in the dressing room after Cardiff's late equaliser but the incident has been sensationalised in the media," a West Brom spokesman said.
"What happened is not uncommon in a dressing room and shows that the players care. The players involved have apologised.
"The club has drawn a line under the matter and is now fully focusing on Saturday's important game at Norwich."
Sources in the Midlands have refuted suggestions that chief executive Mark Jenkins was forced to read the riot act to the players.
Indeed, it is understood that the repercussions were dealt with in the dressing room and that order was soon restored.
Saturday's draw saw West Brom pass up the opportunity to ease themselves six points clear of the relegation zone.
They led 2-0 after just nine minutes through goals from Morgan Amalfitano and Graham Dorrans, but were pegged back as Jordon Mutch and Steven Caulker struck either side of the break.
However, substitute Thievy Bifouma looked to have snatched victory in the fourth minute of injury time, only for Mats Moller Daehli's late and, for the home side, costly intervention.
West Brom sit in 17th place in the table, three points better off than Cardiff in 18th and having played a game fewer.
Their seven remaining games include home fixtures against Tottenham, West Ham and Stoke, while they must travel to Norwich, Manchester City, Arsenal and Sunderland.