Badreddin Abdalla Adam Bosh, 28, attacked three other asylum seekers, two staff members and a police officer at the city’s Park Inn on 26 June 2020.
Bosh, from Sudan, was shot by armed police and died in the incident in West George Street.
The Crown Office and Procurator Fiscal Service (COPFS) has now lodged a first notice to begin the court process for a fatal accident inquiry (FAI).
A preliminary hearing will take place at Glasgow Sheriff Court on 11 March.
Kenny Donnelly, deputy crown agent for COPFS, said: “The lord advocate considers that the death of Badreddin Abdalla Adam Bosh occurred in circumstances giving rise to serious public concern.
“The lodging of the first notice enables FAI proceedings to commence under the direction of the sheriff.
“An FAI will allow a full public airing of the evidence of the procurator fiscal’s wider investigations with interested parties.
“The evidence will be tested in a public setting and be the subject of an independent judicial determination.”
Mr Donnelly added that Bosh’s family will be kept informed of “significant developments” as court proceedings progress.
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The FAI will determine the cause of death; the circumstances in which it occurred; and to establish what reasonable precautions could have been taken to minimise the risk of future deaths in similar circumstances.
Unlike criminal proceedings, FAIs are inquisitorial in nature and are used to establish facts rather than to apportion blame.
A previous investigation by the procurator fiscal found the actions of police were “absolutely necessary” and “proportionate”.
The Crown Office said Bosh was shot after attempts to use less lethal weapons were unsuccessful.
The independent probe concluded there was “no evidence of criminality” on the part of any Police Scotland officer involved in the incident.
The incident came three months after the start of COVID lockdown restrictions, which had led to Home Office contractor Mears moving hundreds of asylum seekers in Glasgow into hotels.
The Home Office said it has since made “significant changes” to help identify vulnerable asylum seekers to “ensure they are fully supported”.
