Man City seemed to win the battle in the middle of the park and Jamie Carragher offered his thoughts on Liverpool's current crop of midfielders.
All three have yet to lose a match this season but while Liverpool have been touted as the main challengers to City, Chelsea have shown they deserve to be in the conversation.
Click on the video above to enjoy extended highlights...
Mahrez twice forced good saves from Liverpool keeper Alisson Becker after the break but then failed to find the target from the penalty spot when the three points were up for grabs.
Liverpool and Manchester City played out a drab goalless draw in a Premier League match which was touted as the match of the season.
"But we played City today".
"That's why I say going away is not a big problem but now you call a manager of any country and ask him to leave out one or two players and he says, "I am under pressure as well" because now it's Nations League. For Salah it was the first one so we will see in seven or eight years". "You have to create your own moments, you have to be courageous in these situations as well and then it can work, but there is no guarantee, absolutely not".
"Yes, he wanted it", said Guardiola, who had already substituted chief penalty-taker Sergio Aguero.
Van Dijk's error in that incident should not mask the positives of his performance, however, or the difference he has made to Liverpool since arriving from Southampton for £75 million as the world's most expensive defender in January. After their pulsating clashes in the UEFA Champions League and the 4-3 thriller in the Premier League in 2018, this affair was more pragmatic with possession nearly equal and big chances also shared evenly. It is so hard to defend so I am really happy how we did it. So it looks like they are in a good shape. Don't lose the ball in unsafe positions because when you lose the ball there, they counter attack with Firmino, Mane and Salah.
Liverpool's last trophy came under Kenny Dalglish, who won the 2012 EFL Cup on penalties against a second-tier Cardiff City.