filagree vs embellishment

filagree and embellishment both are nouns.

Word	Noun	Adjective	Verb	Adverb
filagree	Yes	No	No	No
embellishment	Yes	No	No	No

As nouns, embellishment is a hypernym of filagree; that is, embellishment is a word with a broader meaning than filagree:

filagree: delicate and intricate ornamentation (usually in gold or silver or other fine twisted wire)
embellishment: a superfluous ornament

filagree (noun)	embellishment (noun)
delicate and intricate ornamentation (usually in gold or silver or other fine twisted wire)	the act of adding extraneous decorations to something
	a superfluous ornament
	elaboration of an interpretation by the use of decorative (sometimes fictitious) detail