The 18-year-old has been hugely impressive at the Copa Libertadores this season.
Now it appears that the young attacker, who is in the Brazil Under-20s squad, could be heading to Europe.
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Per The Mail, Liverpool are among the teams very serious about signing Guilherme.
They will face competition in the form of fellow Premier League clubs such as Chelsea and Manchester City.
Palmeiras have produced several top players in the past, including Gabriel Jesus and Endrick.