Micky van de Ven Double Ends The Toffees' Run at New Home Ground
Micky van de Ven became the first defender to net two goals in a English top-flight match for Spurs since Jan Vertonghen in March 2013.
At a glance
Micky Van de Ven nods into the net twice in first half
The home side's defender has goal disallowed after VAR review
Pape Matar Sarr nets third in dying moments
The defeat is the Merseyside club's initial at Hill Dickinson Stadium
Micky van de Ven found the net twice as Tottenham prolonged their unbeaten run on the road in the Premier League and handed Everton their initial loss at their new home.
Everton were unbeaten in their five previous fixtures at their recently opened stadium at the dockside location, having left Goodison Park behind after more than a century at the conclusion of the previous campaign.
But Tottenham's leader the Dutchman struck on two occasions from corners in the opening 45 minutes to place their strong form at risk, and they were failed to mount a comeback before Pape Matar Sarr - assisted by ex-Everton forward the Brazilian - nodded in a final goal to put the game to bed.
The Everton defender thought he had equalized the tally a short while after the defender's opener, glancing a powerful header past Guglielmo Vicario from an set-piece.
Beto, in the meantime, failed to convert a number of opportunities, while the Italian goalkeeper made a series of excellent stops to guarantee the London club went five matches on the road unbeaten in the Premier League.
But the video assistant referee intervened, instructing Craig Pawson to review the score on the screen and the referee ruled that Jack Grealish and Iliman Ndiaye were in an illegal position and had interfered with the Tottenham goalkeeper.
The win moves the manager's side up to third in the Premier League, five points off north London rivals and table-toppers Arsenal.
The Merseyside club remain 14th and sit half a dozen points ahead of the relegation zone.
Spurs breakdown: The defender excels in role at both ends of pitch
Following a drab midweek display in the Champions League against Monaco, where they mustered a only attempts on goal, the manager chose the French striker up front instead of ex-Everton forward Richarlison.
The new arrival was unable to influence the game before being substituted for the substitute after 60 minutes on the field, but it turns out he proved unnecessary in the final outcome.
Centre-back the Dutchman transformed into an offensive threat to be reckoned with.
Spurs' first goal came from a well-worked corner routine, with Rodrigo Bentancur directing the ball toward the face of goal for an unmarked the defender to score.
And the captain - stepping up as captain in the Argentine's absence - notched his second in first-half stoppage time as he rose above the England keeper to nod in.
The Dutchman was just as outstanding in defence, combining effectively with Kevin Danso as the pair dealt superbly with the numerous deliveries sent their way by Everton.
Everton analysis: Everton missing striker's instinct
The club's recent stadium had been a fortress, but it seems the freshness may have faded somewhat and supporters headed to the gates after Sarr's final goal for Tottenham.
The break in the team's unbeaten home run won't be a massive worry for David Moyes, but their attacking woes will be.
The forward and Thierno Barry - the Toffees' two established centre-forwards - had netted just one league goal combined before Sunday's outing.
And they were unable to add to that poor record on a wet and gloomy evening on Merseyside.
Beto's form was epitomized when he chose to overhead kick a golden opportunity from close range, even with having space and time to readjust for a simpler shot that would have challenged the keeper.
The substitute, too, was unable to influence the game after coming on for the starter in the 65th minute.
It was not for a lack of opportunity. The majority of Everton's offensive moves came through the winger and the forward, who relentlessly delivered dangerous crosses into the Tottenham box.
What next for these two sides?
The Toffees: Moyes' men head to Sunderland in the top flight on early November at 20:00 GMT.
Spurs: The London club travel to St James' Park on Wednesday, 29 October for their fourth-round League Cup tie against the Magpies.