The jury who convicted Lundy of both murders in 2002 were not told that police found seven fingerprints and a palm print in the house which were never identified.
"That information wasn't disclosed to the jury because the [police] notebook concerned was not disclosed to the defence. So the jury heard nothing about unidentified fingerprints at all. It's a very interesting point."
He also noted witnesses saw that the house lights were on at 11pm and blood was found by the toilet light switch, which Mr Levick said suggested the light was turned off after the murders.
"The obvious question is who turned the lights off?"
The Law Lords of the Privy Council have quashed Lundy's convictions and ordered a second trial be held. Lundy was yesterday moved from Rangipo Prison and is set to make a bail application.
Assistant Commissioner Grant Nicholls said police would discuss the Privy Council's judgment with Crown Law and the Crown Solicitor to determine the next steps.
"This is likely to include evaluation of what evidence needs to be prepared and availability of witnesses."
Mr Nicholls said given the matter was still subject to judicial process, it would be inappropriate for police to comment further about specifics of the case or the evidence involved.
A spokeswoman for Crown Law said the Privy Council highlighted the evidence in dispute but did not express any opinion on which evidence should be preferred, as this was a matter for the jury at retrial.
"The decision rests on fresh evidence of an expert nature. There is no suggestion Mr Lundy's trial in 2002 was unfair and there is no criticism of the Court of Appeal's decision dismissing Mr Lundy's appeal."
