Micky van de Ven Double Halts The Toffees' Run at Brand New Home Ground
The Dutch defender emerged as the first backline player to score twice in a English top-flight game for Tottenham since the Belgian defender in March 2013.
At a glance
Micky Van de Ven heads into the net two times in opening period
The home side's Jake O'Brien has goal ruled after video check
Senegalese midfielder nets third in dying moments
This loss is Everton's first at Hill Dickinson Stadium
Micky van de Ven scored on two occasions as Tottenham prolonged their winning streak on the road in the Premier League and handed Everton their initial loss at their new home.
The Toffees were undefeated in their last five matches at their new ground at the dockside location, having left Goodison Park behind after more than a century at the conclusion of last season.
But Tottenham's leader Van de Ven struck twice from set-pieces in the opening 45 minutes to put their strong form at risk, and they were failed to turn it around before Pape Matar Sarr - assisted by ex-Everton forward Richarlison - nodded in a final goal to put the game to bed.
The Everton defender believed he had levelled the tally five minutes after the defender's opener, glancing a powerful header past the Spurs keeper from an set-piece.
The Portuguese striker, in the meantime, failed to convert a handful of chances, while the Italian goalkeeper made a series of excellent stops to ensure Tottenham went five matches on the road without defeat in the Premier League.
But the VAR stepped in, instructing the match official to check the score on the screen and the official ruled that the winger and the attacker were in an illegal position and had impeded with the Spurs keeper.
This victory moves the manager's side into third place in the Premier League, five points off north London rivals and leaders Arsenal.
Everton remain in 14th position and sit half a dozen points ahead of the drop zone.
Spurs breakdown: The defender excels in duties at each end of the field
Following a drab weekday performance in the Champions League against the French side, where they managed a mere attempts on target, Frank chose Randal Kolo Muani up front instead of ex-Everton forward Richarlison.
The new arrival was unable to influence the game before being replaced for the substitute after an hour on the pitch, but it emerged he proved unnecessary in the final outcome.
Centre-back Van de Ven converted into an attacking force to be reckoned with.
Spurs' opening strike came from a cleverly executed corner routine, with Rodrigo Bentancur directing the ball toward the six-yard box for an unmarked the defender to score.
And the captain - filling in as skipper in the Argentine's unavailability - added his next goal in added time as he outjumped Jordan Pickford to head home.
The Dutchman was just as impressive in defence, partnering effectively with Kevin Danso as the duo dealt excellently with the 34 crosses thrown their way by the opposition.
Everton analysis: Everton lacking finishing touch
Everton's recent stadium had been a fortress, but it appears the freshness may have worn off somewhat and fans flocked to the gates after the midfielder's final goal for Tottenham.
The end in Everton's winning streak at home will not be a massive concern for David Moyes, but their striker situation will be.
Beto and Thierno Barry - the Everton's two established strikers - had netted just one league goal combined before the weekend's match.
And they were failed to contribute to that miserable record on a damp and dreary evening on in Liverpool.
The striker's form was epitomized when he chose to bicycle-kick a golden opportunity from close range, even with having space and time to readjust for a more conventional shot that would have tested the keeper.
Barry, as well, was unable to make an impact after coming on for Beto in the second half.
It wasn't for a shortage of chance. Most of Everton's offensive moves came through Grealish and the forward, who tirelessly delivered dangerous balls into the Tottenham penalty area.
What next for both teams?
The Toffees: The team head to the Stadium of Light in the top flight on early November at 20:00 GMT.
Spurs: Spurs go to St James' Park on late October for their fourth-round Carabao Cup match against Newcastle.