all the same vs nevertheless

all the same and nevertheless both are adverbs.

Word	Noun	Adjective	Verb	Adverb
all the same	No	No	No	Yes
nevertheless	No	No	No	Yes

As adverbs, all the same and nevertheless are synonyms defined as:

all the same and nevertheless: despite anything to the contrary (usually preceding a concession)

Other synonyms of all the same include at the same time, even so, however, nonetheless, notwithstanding, still, withal, yet.

all the same (adverb)	nevertheless (adverb)
despite anything to the contrary (usually preceding a concession)	despite anything to the contrary (usually preceding a concession)