why does 'ne' relate only to 'any' or 'some' in this instance and not 'them' or 'it'?
'ne' is 'any of them', as well as other things. 'I don't want any (of them)'
Well you can think of it as translates to "I do not want of it" where "ne" means "of it" so this sentence can roughly translate to "I do not want any (of it)". [Native english speaker]
It is not about this question, it is about "ne".
can I say "non ne mi piace."?
When using two clitics their form and order is fixed, and in the case of ne+mi it becomes "me ne". "Non me ne piace" however would mean "I don't like of it": the Italian sentence needs something to support "ne", e.g. "Non me ne piace nessuno" (I don't like any of them / I like none of them).
Can one of the experts please explain when "ne" should be used? Thank you in advance
Here's a start. http://italian.about.com/library/fare/blfare167a.htm Until an expert shows up.