The meeting will be the first since clashes in the northern Tuareg stronghold town of Kidal in May during which at least 50 Malian soldiers were killed.
France, Mali's former colonial power, its northern neighbour Algeria and the West Africa regional bloc Ecowas are pushing both sides to hold talks that could end decades of Tuareg uprisings in Mali's desert north.
A 2012 uprising led to a military coup in the capital and the occupation of the northern half of the country by better armed Islamist militants who had allied with the rebels. The militants were later driven out by a French-led intervention.
Right direction
Fabius told the French parliament's foreign affairs committee that discussions led by Algeria have been positive and Mali's President Ibrahim Boubacar Keita has indicated his willingness to see talks lead to a positive outcome.
"[The talks] are co-ordinated by the whole region and a conference has been scheduled for Algiers on the 16th of this month with the Malian government and the northern groups," Fabius said.
Fabius added that the meeting, if held, would signify that things are heading in the right direction.
Mali's separatist movements are demanding greater autonomy for northern Mali, which they term Azawad.
The three main rebel group include the National Movement for the Liberation of Azawad (MNLA), the Arab Movement of Azawad (MMA) and the High Council for the Unity of Azawad (HCUA).