Jordi Alba stunned Napoli who have only conceded 18 goals in Italy this season with the opening goal,to give his side an eight minutes lead.
The lead was doubled in the 13th from Frenkie de Jong run into a space at the edge of the Napoli area from where he curled a glorious shot past Alex Meret.
On the the stroke of half time Barcelona made it 3-1,courtesy of Gerard Pique’s goal
He found space in the area to control with his right foot and send a left-foot shot past Meret.
Aubameyang made it four from Adama’s low cross from the right and when De Jong ran over the ball the former Gunner jogged on to it and clipped it precisely into the top corner.
Napoli made scored twice,thanks to Insigne penalty and Politano’s late strike,but were not enough to keep the side in the competition.
The Catalans seal a 5-3 victory on aggregate thanks to a thumping 4-2 win as they advance to the last sixteen.