despite anything to the contrary (usually following a concession); "although I'm a little afraid, however I'd like to try it"; "while we disliked each other, nevertheless we agreed"; "he was a stern yet fair master"; "granted that it is dangerous, all the same I still want to go"
Nonetheless means the same as nevertheless. There was still a long way to go. Nonetheless, some progress had been made His face is serious but nonetheless very friendly. = nevertheless. in spite of the fact that has just been mentioned = nevertheless