On May 4 this year, Lamu Principal Magistrate Allan Temba allowed d the police to detain Mr Lali for 21 days at the Lamu Police Station to enable them conduct comprehensive investigations into the suspected murder of Ms Muigai.
When appearing on the live court session on Tuesday, the Director of Public Prosecutions (DPP) and the Directorate of Criminal Investigations (DCI) applied for an extension of the detention of Mr Lali by another week.
The argument was that the DCI wanted Mr Lali to go with them to the crime scenes, including Jaha House in Shella, Lamu where Ms Muigai sustained the serious head injuries after she allegedly fell on the stairs and later died as she received treatment at a Nairobi hospital.
The fourth ground was that the pending toxicology analysis does not require Mr Lali to be further detained as Ms Muigai's samples have already been taken and are being analysed independent of the suspect.
Mr Lali was arrested on May 3, just a day after Ms Muiagi's death, and he has been in police custody as detectives continued with investigations into her death.