near vs draw close

near is an adjective but draw close is not an adjective.

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

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

Other synonyms of near include approach, come near, come on, draw near, go up.

near (adjective)	draw close (adjective)
not far distant in time or space or degree or circumstances
closely resembling the genuine article
with or in a close or intimate relationship
being on the left side
giving or spending with reluctance
very close in resemblance

near (verb)	draw close (verb)
move towards	move or arrange oneself in a comfortable and cozy position
	pull towards oneself
	move towards

near (adverb)	draw close (adverb)
near in time or place or relationship
(of actions or states) slightly short of or not quite accomplished; all but