I've only ever seen Neve pronounced NEEV, but if it was the Italian it could only be pronounced NEH-veh - 'eh' as in the 'e' in 'net' (Italian pronunciation is very specific!).
As for the origins, they are both equally valid - it is *either* an Anglicised spelling of Niamh, *or* an Italian word-name meaning Snow. It's really up to the parent doing the naming - they decide whether they're giving the child the Anglo-Irish Neve or the Italian Neve, and pronounce it accordingly.
Any questions? :-)
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