The tests would be conducted by police fingerprint and firearms experts, along with ESR scientists, and analysis of the results may take weeks to complete.
"Until we have the full results of the analysis our position remains that any explanation for the marks remains a theory," Mr Dunbier said.
"As we've said before it also remains a real possibility that, even after the analysis is completed, there will still be no definitive conclusion regarding the marks."
Advocates for David Bain were invited to attend.
"I'm very confident that the original fingerprints will show in fact that there are no cuts on (Robin) Bain's thumb and forefinger where the black marks were," long-time supporter Joe Karam said last week.
"The only proposition they've (the police) put forward so far is that they're cuts from rose bushes or something. Well, I can tell you now with a great deal of confidence, the fingerprints will not reveal any cut."
The marks apparently went unnoticed for 19 years until TV3's 3rd Degree revealed that a gun expert had re-examined photos of Robin Bain's hands, and said the marks matched those made by gunpowder residue when loading the magazine of a rifle shortly after it had been fired.