Gardai are still awaiting to fully interview a suspect in the horrific murder of Ashling Murphy.
The man remains in a Dublin hospital with a number of injuries.
His DNA iss being cross-checked against a DNA profile taken from the crime scene as well as from the mountain bike believed to have been used by the killer.
Gardaí were alerted about the man’s presence at a Dublin hospital after he arrived and could not satisfactorily explain the serious injuries he was being treated for.
After initial checks were made, links to Co Offaly were found.
On Sunday, Gardaí were searching the Grand Canal at Cappincur, Tullamore, Co Offaly, looking for a weapon which may have been used during Ms Murphy’s murder on Wednesday.
A public facility in Co Offaly was also searched for a weapon at the weekend.
The suspect, who has a partner and children, sustained a number of wounds, some of which are believed to be self-inflicted and serious.
On Sunday night, it was still unclear as to when the suspect would be mentally assessed before being interviewed by Gardaí. He has spoken briefly to Gardaí but has not been arrested.
Meanwhile, a substantial amount of evidence was gathered from two properties in south Dublin and in a village in Co Offaly over the weekend.
A vehicle which was searched and forensically examined is understood to be owned by a man close to the suspect.
Investigators are trying to determine if the suspect was in that vehicle, and the two houses, at any point after the murder.
Gardaí are also trying to determine if the suspect was in the Tullamore area last Wednesday and, if so, how he got to Dublin.