run across vs come across

run across and come across both are verbs.

Word	Noun	Adjective	Verb	Adverb
run across	No	No	Yes	No
come across	No	No	Yes	No

As verbs, run across and come across are synonyms defined as:

Other synonyms of run across include encounter, meet, run into, see.

run across (verb)	come across (verb)
come together	be received or understood
	communicate the intended meaning or impression
	come together
	be perceived in a certain way; make a certain impression
	find unexpectedly