Brewster, the Golden Boot victor at the Under-17 World Cup in October, was incensed after being targeted by a Spartak defender during Liverpool's 2-0 win and had to be dragged away by team-mates and staff on the final whistle.
It is said that Brewster, who earned the Golden Boot as tournament top scorer during England's recent triumph at the Under-17 World Cup, told match referee Mohammed Al-Hakim what had been said to him by the Spartak player towards the end of the game.
Asked about the incident, Liverpool under-19s coach Steven Gerrard said: "It's hard for me to comment on it right now. It's something that the club will look into and deal with", the Reds idol said to reporters.
The alleged incident happened during Liverpool's UEFA Youth League match with the Russian side at Prenton Park on Wednesday afternoon.
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'The only thing missing from his performance was a goal.
It is not the first time this season that a Liverpool player has endured racism in a UEFA Youth League appearance against Spartak.
UEFA charged Spartak but the punishment amounted only to closing 500 seats in their academy stadium for their next Youth League fixture and also display UEFA's anti-discrimination banner.
Brewster starred for England Under-17s last month as they won the World Cup in their age group, scoring in the final as his team won 5-2.
Nigeria-born attacker Bobby Adekanye was subjected to sickening chants and gestures when the two sides met in Moscow back in September.