run into vs run across

run into and run across both are verbs.

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

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

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

run into (verb)	run across (verb)
collide violently with an obstacle	come together
hit against; come into sudden contact with
come together
be beset by