Usually, dog can't get pedigree later, if litter wasn't registered or if one or both parents don't have pedigree. Sometimes, some National Kennel Clubs allow conditional pedigrees for their breeds (for example, Croatian Shepdog in Croatia or Tornjak in Croatia & Bosnia and Herzegovina etc.) or Breed Clubs for imports (Avongara basenjis, Tibetan breeds…).
As long as your Duna is without pedigree, she can't have pups with pedigrees. You can ask if in Italy is possible to get pedigree later - I mean, to get conditional pedigree. Normal pedigree she can't get because her mother doesn't have it.
I remember that story about Italian female (I think her name is Luna, her owner is on Italian forum too) because my friend contacted owner 2 years ago - she was interested in puppy and owner told her that female is from Russia, she didn't have pedigree, but owner has applied for conditional pedigree and commission approved it.