Micky van de Ven Double Halts Everton's Run at Brand New Home Ground
The Dutch defender became the initial defender to score two goals in a Premier League game for Spurs since Jan Vertonghen in March 2013.
At a glance
The Spurs defender nods home two times in first half
The home side's Jake O'Brien has goal ruled after video check
Senegalese midfielder nets final goal in dying moments
This loss is Everton's first at Hill Dickinson Stadium
The Tottenham defender scored twice as Spurs extended their winning streak in away games in the Premier League and handed the Toffees 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 Goodison Park behind after more than a century at the conclusion of last season.
But Spurs captain the Dutchman pounced twice from corners in the opening 45 minutes to place their strong form at jeopardy, and they were unable to mount a comeback before Pape Matar Sarr - assisted 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.
Beto, meanwhile, failed to convert a handful of opportunities, while Vicario made a succession of fine stops to ensure Tottenham went five away games without defeat in the Premier League.
But the VAR intervened, advising Craig Pawson to check the goal on the screen and the official ruled that the winger and the attacker were in an illegal position and had interfered with the Tottenham goalkeeper.
The win moves the manager's team up to third in the Premier League, a handful of points off local foes and leaders the Gunners.
The Merseyside club stay in 14th position and sit six points clear of the relegation zone.
Spurs breakdown: Van de Ven fulfils duties at both ends of the field
Following a uninspiring weekday performance in the European competition against Monaco, where they managed a only attempts on goal, Frank opted for Randal Kolo Muani in attack instead of ex-Everton forward Richarlison.
The new arrival was unable to make much of an impact before being replaced for Richarlison after an hour on the field, but it emerged he proved unnecessary in the final outcome.
Defender Van de Ven transformed into an offensive threat to be reckoned with.
Tottenham's first goal came from a cleverly executed set-piece play, with Rodrigo Bentancur directing the ball toward the face of goal for an unmarked Van de Ven to head home.
And Ven de Ven - stepping up as captain in the Argentine's absence - added his next goal in first-half stoppage time as he outjumped Jordan Pickford to nod in.
The Dutchman was just as outstanding in defence, partnering well with his defensive colleague as the duo dealt superbly with the 34 crosses thrown their way by Everton.
Toffees breakdown: Everton lacking striker's instinct
The club's recent stadium had been a fortress, but it appears the novelty may have faded slightly and supporters flocked to the exits after Sarr's third for Spurs.
The end in the team's winning streak at home will not be a major worry for the manager, but their attacking woes are.
Beto and the other striker - the Everton's two established strikers - had netted just a single goal between them before the weekend's outing.
And they were failed to add to that miserable record on a damp and dreary night on in Liverpool.
The striker's form was summed up when he opted to bicycle-kick a clear chance from close range, despite having space and opportunity to reposition for a more conventional attempt that would have tested Vicario.
The substitute, as well, failed to make an impact after replacing the starter in the 65th minute.
It wasn't for a shortage of chance. The majority of Everton's offensive moves came through Grealish and the forward, who tirelessly delivered threatening crosses into the Spurs penalty area.
What next for both teams?
The Toffees: The team head to Sunderland in the Premier League on Monday, 3 November at 8 PM.
Spurs: The London club travel to Newcastle's ground on late October for their fourth-round Carabao Cup tie against Newcastle.