press home vs emphasise

press home and emphasise both are verbs.

Word	Noun	Adjective	Verb	Adverb
press home	No	No	Yes	No
emphasise	No	No	Yes	No

As verbs, emphasise is a hypernym of press home; that is, emphasise is a word with a broader meaning than press home:

press home: make clear by special emphasis and try to convince somebody of something
emphasise: to stress, single out as important

Other hypernyms of press home include accent, accentuate, emphasize, punctuate, stress.

press home (verb)	emphasise (verb)
make clear by special emphasis and try to convince somebody of something	to stress, single out as important
	give extra weight to (a communication)