The 41-year-old Magloire was shot four times by police and died in February 2014 in an altercation near the Montreal Berri bus terminal in downtown Montreal.
In his testimony, Paulin Bureau, director of training at École nationale de police du Québec, detailed how many hours of training are dedicated to dealing with people who suffer from mental health issues and with the homeless.
He said the college offers continuing training to police forces across the province.
However, Paulin stressed that training is not a universal cure for police interventions with people who have mental health.
Coroner LucMalouin said that police forces have to find a way to improve on what's being done so that officers have a better knowledge of mental health issues, and also so that they know how to manage high stress situations.
He said that's especially important given the growing problem of homelessness in large cities.
Magloire was the father of two girls and worked as a molecular biology researcher before developing a mental illness.
The inquest resumed Monday after a two-month break.
This phase of the inquest will focus on Quebec's social and mental health services.