A further procedural hearing into an appeal from Limbs in the Loch killer William Beggs will be held in January.
William Beggs arrives at the High Court in Edinburgh for his hearing
Lord Hamilton said the court was anxious to make progress with the appeal bid, which was granted in November 2005.
Beggs was jailed for life in October 2001 after he was found guilty of murdering and dismembering 18-year-old Barry Wallace in Kilmarnock, Ayrshire.
His defence claims pre-trial publicity affected the chances of a fair trial.
Lawyers have raised concerns over the legality of his extradition from Amsterdam.
The validity of a search warrant used by police officers to gather evidence has also been questioned.
Beggs was ordered to serve at least 20 years in prison for murdering Mr Wallace at his home in Kilmarnock.
He cut up his victim's body and dumped his limbs and torso in Loch Lomond and his head into the sea.
A further hearing into his appeal will be heard the second week in January.