After conceding early to AC Milan in midweek, the Reds looked to have slipped up again as Antoine Semenyo slid home after just four minutes, only for VAR to catch him offside.
That turned out to be the catalyst that the Anfield faithful needed, as the energy increased and Liverpool launched an assault, with Andy Robertson nearly scoring right away.
Following an extended period of one-way play for the home team, a blunder by replacement Caoimhin Kelleher gave Bournemouth another chance through Semenyo, but luckily the Irishman was there to save himself with a sharp save.
Liverpool took the lead via route one, with Ibrahima Konate arrowing a ball up for Luis Diaz, whose darting run attracted Kepa Arrizabalaga, and having beaten the advancing goalkeeper the Colombian was able to fire home for 1-0.
Diaz made it 2-0 within a minute, with Liverpool streaming forward, and as the No. 7 drifted into space Trent Alexander-Arnold found him for a simple finish.
Not to be outdone, Darwin Nunez marked his first start of the season with a stunning goal, with Mohamed Salah touching Konate’s long ball through for the Uruguayan, who drove into the box, cut onto his left and curled beyond Kepa.
Liverpool took time to find their touch after the restart, but they regained momentum in the engine room, with all three midfielders impressive in tight spaces and Ryan Gravenberch testing Kepa with a powerful long-range strike.
Rotation continued around the hour as a side featuring four changes from midweek saw Dominik Szoboszlai withdrawn and Curtis Jones sent on, with an eye on managing minutes ahead of the visit of West Ham.
The Reds kept pushing for more with some outstanding patterns of play, though Salah and Nunez found themselves getting in each other’s way on a number of occasions.
It was soon time for Federico Chiesa‘s Premier League debut, the Italian replacing Nunez with 18 minutes left to play and taking up his spot as centre-forward.
Chiesa showed promising signs while at the other end Kelleher made a great save to deny Bournemouth substitute Luis Sinisterra, with the second half ending with a 3-0 win for Liverpool.
