Micky van de Ven emerged as the first defender to net two goals in a English top-flight game for Tottenham since Jan Vertonghen in spring 2013.
Key points
The Spurs defender nods into the net twice in first half
The home side's defender has equalizer ruled after VAR review
Pape Matar Sarr nets final goal in 89th minute
The defeat is the Merseyside club's first at Hill Dickinson Stadium
Micky van de Ven scored twice as Tottenham extended their unbeaten run on the road in the top division and handed Everton their first defeat at Hill Dickinson Stadium.
Everton were unbeaten in their five previous fixtures at their new ground at Bramley-Moore Dock, having left Goodison Park behind after 133 years at the end of the previous campaign.
But Tottenham's leader the Dutchman struck twice from corners in the first half to put their strong form at jeopardy, and they were unable to mount a comeback before the midfielder - set up by former Toffees attacker the Brazilian - nodded in a final goal to seal the victory.
The Everton defender thought he had equalized the tally a short while after the defender's opener, directing a bullet header past Guglielmo Vicario from an Everton corner.
Beto, meanwhile, failed to convert a number of opportunities, while the Italian goalkeeper made a series of fine saves to ensure the London club went five away games unbeaten in the Premier League.
But the VAR intervened, advising the match official to review the goal on the screen and the official ruled that Jack Grealish and the attacker were in an illegal position and had impeded with the Spurs keeper.
This victory moves the manager's team up to third in the division, a handful of points off north London rivals and table-toppers Arsenal.
The Merseyside club stay in 14th position and sit six points clear of the drop zone.
After a drab weekday performance in the Champions League against the French side, where they mustered a mere two shots on target, Frank opted for the French striker up front instead of former Toffees player Richarlison.
The new arrival was failed to influence the game before being replaced for the substitute after an hour on the pitch, but it turns out he wasn't needed in the end.
Centre-back Van de Ven converted into an offensive threat to be reckoned with.
Spurs' opening strike came from a cleverly executed corner routine, with the midfielder heading the ball back across the face of goal for an free the defender to score.
And Ven de Ven - filling in as captain in Cristian Romero's unavailability - notched his next goal in first-half stoppage time as he outjumped Jordan Pickford to nod in.
The Dutchman was equally outstanding in defensive duties, combining effectively with Kevin Danso as the pair handled superbly with the 34 crosses thrown their way by Everton.
The club's new home had been a fortress, but it appears the novelty may have faded somewhat and supporters flocked to the exits after the midfielder's third for Spurs.
The end in Everton's winning streak at home will not be a major concern for David Moyes, but their striker situation will be.
Beto and Thierno Barry - the Toffees' two recognised centre-forwards - had netted just one league goal between them before Sunday's match.
And they were unable to contribute to that poor record on a wet and gloomy evening on Merseyside.
The striker's performance was epitomized when he chose to bicycle-kick a golden opportunity from close range, despite having room and time to reposition for a simpler attempt that would have challenged the keeper.
Barry, too, failed to make an impact after replacing the starter in the 65th minute.
It was not for a shortage of opportunity. Most of the home side's attacks came through Grealish and the forward, who tirelessly delivered threatening balls into the Spurs box.
Everton: Moyes' men head to the Stadium of Light in the top flight on early November at 20:00 GMT.
Tottenham: The London club go to Newcastle's ground on Wednesday, 29 October for their fourth-round Carabao Cup match against the Magpies.
Lena is a seasoned sports analyst with over a decade of experience in betting strategies and market trends, dedicated to helping bettors succeed.
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Sarah Robles
Sarah Robles
Sarah Robles