A brace from Ilkay Gundogan along with goals from Bernardo Silva and Sergio Aguero left Pep Guardiola‘s men in a commanding position ahead of the return leg at the Etihad.
But rather than rest on our laurels, Vinny says City want to maintain their high standards as the club looks to seal a place in the quarter-finals.
“For a Champions League game we did ever so well,” said the City skipper.
“But in these kinds of situations, in my opinion, if we have this game at the Etihad and it’s a 3-2 or a 2-2 draw, that won’t give us a good feeling going into the next round.
“We have shown that we were the better team tonight and only for a lack of motivation and effort could we be not that team again at the Etihad and that’s not permitted.”
In what was the Belgian star’s first Champions League appearance since the 2016 semi-final clashes with Real Madrid, Kompany marshalled the City back-line superbly.
With Guardiola’s men in lethal fashion going forward, Vinny and Co kept the door slammed firmly shut on the Swiss champions at the other end.
And Kompany said the Blues’ work-rate and organisation proved crucial.
“For me, the highlights were the work-rate in defending and recovering the ball early,” Vinny added.
“Playing against a back five they were a little bit similar to Chelsea, so as a back four you are stretched a lot and you really have to chase wide.
“We did that well. The pitch was difficult, really difficult and it was freezing out there so all these conditions where you think could it be difficult for us, we did really well.”