The Dutch goalkeeper was seething at full time at Stamford Bridge.
Spurs surrendered a two-goal lead in West London as Guus Hiddink's men struck two second-half goals - including an 83rd-minute equaliser through Eden Hazard - to shatter Tottenham's hopes of a first league title since 1961, with Leicester City crowned Premier League champions.
Tempers flared in a feisty London derby which saw the Lilywhites receive nine bookings, but frustrations reached boiling point at full time when a melee ensued at the entrance to the tunnel.
Television images showed a furious Vorm - the Dutch goalkeeper an unused substitute on the night - grappling with Chelsea striker Diego Costa in a ruckus surrounded by more than a dozen people, including players and staff.
And The Mirror claims that the fracas continued in the tunnel, invisible to television cameras, and that four people had to hold back the former Swansea City stopper.
It goes on to suggest that Vorm continued shouting explicit-laden insults at Chelsea players, before Blues captain John Terry and Spurs boss Mauricio Pochettino eventually held "peace talks" away from the drama.
The Football Association's disciplinary committee has an arduous task on its hands now, but also for an earlier incident where Tottenham's Mousa Dembele is accused of eye gouging Costa.