close in vs draw in

close in and draw in both are verbs.

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

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

close in (verb)	draw in (verb)
surround completely	direct toward itself or oneself by means of some psychological power or physical attributes
advance or converge on	draw in as if by suction
	pull inward or towards a center
	of trains; move into (a station)
	advance or converge on
	shape one's body into a curl