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Liverpool forward Diogo Jota held up Diaz's No. 7 shirt to show support for him after scoring the first goal of the match as the 2019-20 champions stayed fourth in the table with 23 points from 10 games.
Liverpool won 3-1 while Arsenal were held 2-2 by Spurs.
Arsenal have 73 points from 30 games, six points more than second-place City, who have a game in hand.
A disciplined Real seemed content to sit back against a tame Liverpool who carried little threat for most of the game.
Although the UEFA initially blamed the Merseyside club's fans for the mayhem, the governing body later apologised following the release of an independent review.
Liverpool's previous biggest win over United was a 7-1 victory in 1895.
Goals from Victor Osimhen and Giovanni Di Lorenzo gave dominant Napoli a 2-0 victory at 10-man Eintracht Frankfurt in their last-16 first leg.
The match ended goalless after Kai Havertz' early strike was flagged offside by VAR.
Audio of a woman moaning was played at high volume just as host Gary Lineker was seeking the opinion of fellow pundit Alan Shearer ahead of Liverpool's 1-0 win over Wolverhampton Wanderers.
Messi's PSG will take on German giants Bayern Munich.
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