Micky van de Ven Brace Ends The Toffees' Run at Brand New Stadium
The Dutch defender became the initial backline player to net twice in a English top-flight game for Tottenham since Jan Vertonghen in spring 2013.
Match summary
The Spurs defender heads into the net twice in first half
The home side's defender has goal ruled after VAR review
Senegalese midfielder nets final goal in dying moments
The defeat is the Merseyside club's initial at their new ground
Micky van de Ven scored on two occasions as Spurs prolonged their unbeaten run in away games in the Premier League and handed Everton their first defeat at Hill Dickinson Stadium.
Everton were undefeated in their five previous fixtures at their recently opened stadium at Bramley-Moore Dock, having departed their historic home behind after 133 years at the end of last season.
But Tottenham's leader Van de Ven struck on two occasions from set-pieces in the opening 45 minutes to place their impressive record at risk, and they were unable to turn it around before the midfielder - assisted by ex-Everton forward Richarlison - headed home a third to seal the victory.
Jake O'Brien believed he had levelled the scores five minutes after Van de Ven's opener, directing a powerful header past the Spurs keeper from an set-piece.
The Portuguese striker, in the meantime, missed a handful of opportunities, while Vicario made a succession of fine stops to guarantee the London club went five matches on the road without defeat in the English top flight.
But the VAR intervened, advising Craig Pawson to review the score on the screen and the official ruled that the winger and the attacker were in offside positions and had impeded with the Tottenham goalkeeper.
This victory moves the manager's side up to third in the Premier League, a handful of points off north London rivals and table-toppers Arsenal.
Everton stay in 14th position and sit six points ahead of the drop zone.
Tottenham analysis: The defender fulfils duties at both ends of the field
Following a drab midweek display in the Champions League against the French side, where they mustered a only two shots on target, Frank opted for the French striker in attack instead of ex-Everton forward Richarlison.
The new arrival was failed to influence the game before being substituted for Richarlison after 60 minutes on the pitch, but it turns out he proved unnecessary in the end.
Centre-back Van de Ven converted into an offensive threat to be reckoned with.
Tottenham's opening strike came from a cleverly executed corner routine, with the midfielder directing the ball back across the face of goal for an unmarked Van de Ven to head home.
And Ven de Ven - stepping up as skipper in the Argentine's absence - added his second in added time as he rose above the England keeper to head home.
The Dutchman was just as outstanding in defence, partnering well with Kevin Danso as the duo handled excellently with the numerous deliveries sent their way by Everton.
Everton analysis: Everton lacking striker's instinct
The club's recent stadium had been a happy hunting ground, but it seems the novelty may have faded slightly and fans headed to the gates after the midfielder's final goal for Spurs.
The end in the team's unbeaten home run will not be a major concern for David Moyes, but their attacking woes will be.
The forward and Thierno Barry - the Everton's pair of established strikers - had scored only one league goal combined before Sunday's match.
And they were failed to add to that miserable record on a damp and dreary night on in Liverpool.
The striker's form was epitomized when he opted to bicycle-kick a golden opportunity from near the goal, despite having room and opportunity to reposition for a more conventional attempt that would have challenged Vicario.
Barry, as well, failed to influence the game after replacing the starter in the second half.
It was not for a shortage of opportunity. Most of Everton's offensive moves came through Grealish and Ndiaye, who relentlessly whipped dangerous crosses into the Tottenham penalty area.
Upcoming fixtures for both teams?
Everton: Moyes' men head to the Stadium of Light in the top flight on early November at 8 PM.
Tottenham: The London club travel to Newcastle's ground on late October for their fourth-round Carabao Cup tie against Newcastle.