In response to the detention, RSF announced a solidarity football match for 11 November, marking the journalist's 500th day in detention as part of an ongoing campaign calling for his release.
The case has also raised concerns regarding the imprisonment and prosecution of writers and other public figures in Algeria, according to reporting.
The arrest occurred during a period of heightened diplomatic tensions between France and Algeria, a time marked by the withdrawal of ambassadors and reciprocal expulsions of diplomats.
He was arrested on a trip to Algeria where he had gone to report on a football club in Kabylie, a region where some people want self-determination.
RSF has announced a solidarity football match for 11 November, marking Gleizes's 500th day in detention, as part of its campaign calling for his release.
Gleizes's arrest also came during a period of heightened diplomatic tensions between France and Algeria, marked by the withdrawal of ambassadors and reciprocal expulsions of diplomats.
Gleizes's case comes amid wider concerns over the prosecution and imprisonment of writers and other public figures in Algeria.
Prosecutors argued that he had not travelled to Algeria to carry out journalistic work, but to commit a hostile act.
Outcry after Algeria sentences French sports journalist to seven years in jail.