Mark Nash's legal representatives will today attend the inquest on the two psychiatric patients killed in Grangegorman in March, 1997.
Dublin City Coroner Dr Brian Farrell had asked Nash to attend the inquests on Ms Sylvia Shields and Ms Mary Callinan yesterday, but he had refused.
Mark Nash confessed to the women's deaths when arrested in connection with another double murder later in 1997 but he then withdrew the confession.
He is currently serving two life sentences in Arbour Hill prison for the murders of Catherine and Carl Doyle.
The inquest began at Dublin City Coroner's Court yesterday after being adjourned 20 times since March 31st, 1998. Gardaí had sought adjournments because a murder inquiry was under way.
An adjournment had been sought yesterday by Mr Michael Finucane, solicitor for Ms Shields's sister, Mrs Stella Nolan.
He said Mrs Nolan had not received all the statements and depositions available to some legal representatives present at the inquest. Therefore she would be at a disadvantage in hearing the evidence. He said he had sought Mark Nash's statement from the coroner's court but this had been refused.
He added that the Garda attempts to investigate the case and prosecute had "failed and failed miserably".
Mr Paul Coffey SC, for the Garda Commissioner, said this was "unfounded and gratuitous criticism". He called for the inquest to go ahead, saying it was to establish the identity of the deceased and to establish when, where and how they died.
Dr Farrell rejected the application for the adjournment, saying all draft depositions had been made available where possible. He said Nash's situation would be addressed this morning when his solicitors attended the inquest.