cuddle vs draw close

cuddle is a noun but draw close is not a noun.

Word	Noun	Adjective	Verb	Adverb
cuddle	Yes	No	Yes	No
draw close	No	No	Yes	No

As verbs, cuddle and draw close are synonyms defined as:

cuddle and draw close: move or arrange oneself in a comfortable and cozy position

Other synonyms of cuddle include nest, nestle, nuzzle, snuggle.

cuddle (noun)	draw close (noun)
a close and affectionate (and often prolonged) embrace

cuddle (verb)	draw close (verb)
move or arrange oneself in a comfortable and cozy position	move or arrange oneself in a comfortable and cozy position
hold (a person or thing) close, as for affection, comfort, or warmth	pull towards oneself
	move towards