Lawyers for Kim Dotcom and his co-accused are arguing again that an extradition hearing should be halted.
Mr Dotcom, Mathias Ortmann, Bram van der Kolk and Finn Batato face extradition to the United States on copyright and money-laundering charges, related to their file-sharing website, Megaupload.
Last week, Judge Nevin Dawson refused to hear several applications from the men for a stay in proceedings, saying they could be heard in the context of the main hearing.
The Crown has finished making its arguments for extradition, and the men's lawyers are now arguing the stay applications should be heard before they present their defence.
Mr van der Kolk and Mr Ortmann's lawyer, Grant Illingworth, said the United States had refused to let the men use frozen funds to pay for expert witnesses.
Mr Illingworth said it would be a miscarriage of justice for the hearing to continue.