Robbie Keane scored his first goal for Liverpool and Steven Gerrard claimed his 100th to give the Anfield side a comfortable Champions League victory.
PSV Eindhoven were outclassed in their Group D clash, as Liverpool won their opening two pool matches for the first time. Dirk Kuyt, with a 10th goal in his last 16 Champions League games for the club, opened the scoring with Keane netting before the break.
Gerrard cracked home his 100th for the club with 15 minutes left, substitute Danny Koevermans adding a late goal for Eindhoven.
Reds boss Rafa Benitez was delighted with the performance, and singled out Keane and Gerrard for special praise.
"It was almost the perfect night," said Benitez.
"It was a really good game for us with lots of positive things, a solid performance with balance and quality.
"Now we must keep on winning. This is a very good start for us - different maybe from last season when we did not start our group matches that well.
"I was pleased for Robbie Keane.
"Now he has got his first European goal for us, I hope he will now score his first Premier League goal.
"I know Robbie will score a lot more goals for us in the future, so this was just the first step for him.
"I was pleased also for Steven Gerrard. For a midfielder to score 100 goals is very impressive. He is among the very best offensive midfield players anywhere."
Watch the highlights here - http://www.youtube.com/watch?v=o6piq8AwImU
