draw close vs cuddle

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

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

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

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

Other synonyms of draw close include nest, nestle, nuzzle, snuggle.

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

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