come close vs border on

come close and border on both are verbs.

Word	Noun	Adjective	Verb	Adverb
come close	No	No	Yes	No
border on	No	No	Yes	No

As verbs, border on is a hyponym of come close; that is, border on is a word with a more specific, narrower meaning than come close:

come close: be close or similar
border on: come near or verge on, resemble, come nearer in quality, or character

Other hyponyms of come close include approach.

come close (verb)	border on (verb)
nearly do something	come near or verge on, resemble, come nearer in quality, or character
be close or similar