Tottenham allowed Messi time to curl a pass to Jordi Alba on the left and with goalkeeper Hugo Lloris, back from injury, charging out, Alba cut the ball back to Coutinho, who drilled home through a gaggle of defenders.
"We played a great match and in the first half we were extraordinary so we are happy because everything went as we wanted it to".
Spurs will have to take on Barcelona without Christian Eriksen, Mousa Dembele and Jan Vertonghen, who have joined Dele Alli on a growing casualty list.
After going 2-0 up Barcelona threatened to run away with things but goals from Harry Kane and Erik Lamela pulled it back to 2-1 and 3-2 before Messi finished off Spurs late on.
He was far less influential in the final half hour, understandably tiring in an unfamiliar environment on his first-ever Champions League start.
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And when Messi made it 4-2 in the 90th minute, it was Suarez once again whose dummy created space for Barcelona's No.10 to score.
Meanwhile, Barcelona are preparing for the next Champions League game against Premier League club Tottenham at the Wembley stadium. But there was no doubting the superiority of the Spaniards, for whom Ivan Rakitic struck a stupendous second-half volley, whose progress to the knockout stages now looks close to assured.
'We played with the handicap of conceding after one minute. Lucas Moura could have equalised.
"Those who play football understand completely that if you start that way in this type of game, in a Champions League game against a team like Barcelona, you can not concede these types of chances".
The last time the Uruguayan was on the Champions League scoresheet away from Camp Nou was against Roma in the Stadio Olimpico back in September 2015 and he walked off the Wembley turf having failed to end that barren run. "We had a few problems during the game but we managed to solve them".
Arthur has played in three LaLiga matches against Alaves, Huesca and Girona and just seven minutes against PSV in the Champions League. "We're still thinking the same, though, that all is possible".