Liverpool took the lead after 27 minutes when Steve Finnan broke free on the right and crossed for Steven Gerrard to power home a header which PSV goalkeeper Gomes had no chance of saving.
They doubled their lead against the injury-hit Dutch side after 49 minutes when John-Arne Riise controlled the ball on his chest before thundering in a left-foot volley from 20 metres.
They wrapped up victory on the night — and most likely the tie — when Peter Crouch headed home after 63 minutes for his seventh Liverpool goal in his last seven starts.
