This sounds like a Greek Satyr or Roman Faun. They are described as being strongly built, with flat noses, curly hair and beards. In literature they are found in the only complete Satyr play to be discovered, Cyclops by Euripides.
Satyr plays were brief comical affairs, written to be performed after tragedies, in keeping with the idea that this Satyr was once a comedian. In Rome they took on goat characteristics, with their bottom half becoming goat-like.