In Italy we pronounce it DUF-ne, so there isn't the "ee" ending lots of you appreciate. I like it pronounced in both ways, but I prefer the Italian version, because to me it looks more "natural". Sorry, Italian is my mother tongue...
Everybody I've ever met has pronounced my name at first as "DAF-uh-nee", with three syllables, rather than two, probably to ease the pronunciation. It's a consistent problem with every Floridian and Marylander (the places I've lived) I've ever met :/