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However, Simeone was unhappy at what he called "insults for the whole game" from the home fans.
He added: "We [managers] are in a position where we are protagonists/standard bearers, so in the same manner that we fight against racism and insults in stadiums today, we could also fight on behalf of the managers, against the insults we receive throughout the whole game.
"It's not easy to be in the position we are in and receive insults for the whole game.
I saw the third goal go in and I turned, the insults continued, and well, I'm a person."
When pressed on what the nature of the insults were, he responded: "The truth is I cannot remember exactly.
"The thing I have is that I have to maintain my position.
I, and whichever manager, has to live with this because it happens all of the time."
The incident came at the end of a frantic match as Liverpool scored twice inside the opening six minutes through Andy Robertson and Mohamed Salah, before the Spanish side fought back.
Marcos Llorente scored twice for Atletico to level the tie, but the reigning Premier League champions and current leaders rallied to snatch the decisive third goal through Van Dijk's powerful header.