Van de Ven Brace Halts The Toffees' Unbeaten Streak at New Stadium
Micky van de Ven became the initial backline player to score two goals in a English top-flight game for Tottenham since Jan Vertonghen in March 2013.
At a glance
Micky Van de Ven heads home two times in first half
Everton's defender has goal ruled after video check
Pape Matar Sarr nets final goal in dying moments
This loss is Everton's first at Hill Dickinson Stadium
Micky van de Ven found the net twice as Spurs prolonged their unbeaten run in away games in the top division and handed Everton their initial loss at Hill Dickinson Stadium.
Everton were undefeated in their five previous fixtures at their new ground at Bramley-Moore Dock, having departed Goodison Park behind after 133 years at the end of the previous campaign.
But Spurs captain Van de Ven pounced on two occasions from set-pieces in the opening 45 minutes to place their strong form at risk, and they were failed to mount a comeback before the midfielder - set up by former Toffees attacker Richarlison - nodded in a third to put the game to bed.
Jake O'Brien thought he had equalized the scores a short while after Van de Ven's opener, glancing a powerful header past the Spurs keeper from an Everton corner.
The Portuguese striker, in the meantime, missed a number of chances, while Vicario made a succession of excellent saves to ensure the London club went five matches on the road without defeat in the Premier League.
But the video assistant referee stepped in, 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 interfered with the Tottenham goalkeeper.
The win elevates Thomas Frank's team up to third in the division, a handful of points off local foes and table-toppers the Gunners.
The Merseyside club remain in 14th position and are six points ahead of the drop zone.
Spurs breakdown: Van de Ven excels in role at both ends of the field
After a uninspiring weekday display in the Champions League against Monaco, where they managed a mere two shots on goal, the manager chose the French striker in attack instead of ex-Everton forward the Brazilian.
The new arrival was unable to influence the game before being replaced for Richarlison after an hour on the field, but it emerged he proved unnecessary in the end.
Centre-back the Dutchman converted into an offensive threat to be feared.
Spurs' first goal came from a cleverly executed corner routine, with the midfielder directing the ball toward the face of goal for an free Van de Ven to head home.
And Ven de Ven - filling in as skipper in Cristian Romero's unavailability - added his next goal in first-half stoppage time as he outjumped Jordan Pickford to nod in.
The Dutchman was just as outstanding in defensive duties, combining effectively with Kevin Danso as the pair dealt superbly with the 34 crosses thrown their way by the opposition.
Toffees breakdown: Toffees lacking striker's instinct
Everton's new home had been a fortress, but it seems the novelty may have faded slightly and supporters headed to the gates after Sarr's final goal for Tottenham.
The end in Everton's unbeaten home run will not be a major worry for David Moyes, but their attacking woes are.
Beto and Thierno Barry - the Toffees' two recognised strikers - had netted only one league goal between them before the weekend's outing.
And they were failed to contribute to that poor tally on a damp and dreary evening on in Liverpool.
Beto's performance was epitomized when he opted to overhead kick a golden opportunity from close range, even with having room and opportunity to reposition for a more conventional shot that would have tested Vicario.
The substitute, too, failed to influence the game after coming on for the starter in the second half.
It was not for a shortage of chance. The majority of Everton's offensive moves came through Grealish and the forward, who relentlessly delivered dangerous balls into the Spurs box.
Upcoming fixtures for both teams?
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 next round League Cup match against the Magpies.