Ernesto Valverde's side arrived in London for the Champions League Group B tie amid a mini-crisis after failing to win their last three La Liga games.
Whether the Spurs players enjoyed it, as Pochettino told them to, remains to be seen, but perhaps in time they will tell their grandchildren about the night they shared a football pitch with Messi.
Barcelona can always rely on Messi and he came up with two goals in the second half and he now has five goals from two games in the Champions League.
His performance was so impressive that he was widely compared to Barca legend Xavi on social media and by pundit Rio Ferdinand, who hailed his "magnificent Xavi-esque" display in helping put on "a clinic" in dominating a game.
And it got worse for the visitors in the first half, with Edison Cavani and Angel di Maria adding two more.
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Messi scored Barca's third and fourth goals at Wembley.
"He's become a player like [Cristiano] Ronaldo who picks his moment in games, he'll wait, bide his time and save the big moment to usually make a difference". He has five goals in two UCL games this season, at a rate of one goal every 36 minutes. He rushed off his line to pressure Jordi Alba, who cut back for Coutinho.
Croatia midfielder Ivan Rakitic then doubled the lead by firing home an acrobatic half-volley off the inside of the post from 20 yards.
Barcelona were vulnerable so they said, but on a pitch scarred from hosting British heavyweight champion Anthony Joshua's fight against Alexander Povetkin they took only two minutes to catch Spurs in the solar plexus.
The main area Barcelona can improve is defensively. If you watch the first half again, how many chances did he have?
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"And it's never easy away from home in the Champions League, especially against a team like Tottenham".
Mauricio Pochettino's side meanwhile are third but six points behind Barcelona and second-placed Inter Milan, and face a hard task to progress to the knockout stages.
They have a tough job to get out of the group now with both Barca and Inter having six points on the board.
You weren't supposed to be watching him, Kieran, you were supposed to be trying to tackle him.
A gallant Tottenham side, missing the likes of Dele Alli, Christian Eriksen and Jan Vertonghen, nearly levelled when Lucas Moura's shot deflected wide but Messi ended their resistance after again being picked out by Alba. Previously reliable, Lloris errors are now far too regular.
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