And clinical second-half strikes from Mohamed Salah and substitute duo Daniel Sturridge and Alberto Moreno ensured Jürgen Klopp's side's dominance of proceedings was reflected accurately on the scoreboard.
Last season, while each of the three main strikers scored more than 20 goals each - and Salah was the Premier League's leading marksmen - no other Liverpool player other than the departed Philippe Coutinho, notched more than six across competitions.
It was a stroll for Liverpool from that point, but fans of the club still had plenty to be optimistic about. He is direct, pacy and aggressive.More news: Meghan Markle's first birthday gift as a royal revealed
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"The judgement on Liverpool will be how far they can push Manchester City".
Andrew Robertson, as always, was a risky attacking outlet on the left, Joe Gomez is an interesting option to start next to Virgil van Dijk in central defence and Milner was effective in midfield, pressing and using the ball intelligently. Subs: Mario Rui 7, Maksimovic 6, Verdi 6, Inglese 6, Diawara 6, Ounas 6, Rog 6, Chiriches 6.
Liverpool vs. Napoli is being shown live on LFCTV, which is available to live stream through LFCTV GO here.
In the 55th minute Milner had to make way after suffering a knock.
Mane whistled a shot just wide soon after the restart but, with 58 minutes on the clock, Liverpool had their third. Salah scores - A lofted ball to Salah, who heads the bal back across goal. The ball had come off Raul Albiol as he stumbled from a collision with Mane, and a cohort of Napoli players angrily chased after the referee Michael Ballack-style; a kind of fury incongruous with the occasion.