The Reds will take a commanding aggregate lead into next week's return leg in Rome after Mohamed Salah, Roberto Firmino and Sadio Mane all netted in a thrilling Anfield victory.
Eusebio Di Francesco's team retain some hope of reaching the tournament's final thanks to late away goals from Edin Dzeko and Diego Perotti.
But, speaking at full-time, Lovren was still largely delighted with a result he feels will send reverberations across the football world.
He told Liverpoolfc.com: "It was fabulous to play a game like that. [It was] a fantastic atmosphere from the beginning and we showed our quality again.