Sadio Mane's hat-trick, plus strikes from Mohamed Salah and Roberto Firmino, handed Jürgen Klopp's men a commanding lead in the last-16 contest ahead of the return at Anfield.
It was a European night to remember - and you can see the best photos from the Estadio do Dragao in our gallery below...
Join Jürgen Klopp, or first-team players Virgil van Dijk and Georginio Wijnaldum, for two unmissable evenings at Anfield later this year. Click here for more details.