Liuz said Chelsea could have beaten Liverpool last Sunday if they took their chances.
The Blues could not withstand Jurgen Klopp’s men attack during the second half of the game allowing Sadio Mane and Mohamed Salah to find the back of the net in quick succession.
Chelsea ended the game with just three shots on target and 38% of ball possession.
Liverpool, by contrast, had five shots on target and 62% ball possession.
The win for Liverpool was their first against the Blues at Anfield in several Premier League games.
Chelsea did not cause much trouble to Liverpool’s defenders.
Eden Hazard did however not convert good chances from Emerson Palmieri’s ball delivered towards him and Willian’s delivery which went into the hands of Reds keeper Allison.
Luiz told Chelseafc.com, “At the end, they got their opportunities and they scored, and we didn’t.
“It’s a bit frustrating when you do a great game at Anfield and you don’t get the three points.
“They have a great team, a great philosophy, a great coach, they are in the run to fight for the title, they are excited about that, but I think we had our chances.
“When you play in big games against big clubs you don’t get many opportunities to score, so when you have you have to try to score.
“Eden made great choices, one unlucky with the post, the other one the wind was not his friend, but okay, he was trying like always.
“We didn’t get the points here but we are still in the fight.”
