"There is a threat of terrorist groups setting up in northern Mali. There is outside intervention which is destabilising Mali and creating groups whose vocation goes well beyond Mali, in Africa and perhaps beyond," Hollande said.
Issoufou, whose country shares a long and porous desert border with Mali, himself warned last week that jihadi fighters from Afghanistan and Pakistan were training Islamist groups there.
"I confirm this information," Issoufou said. "This is a threat not only for the region but also for the world," he said, confirming also that ECOWAS and the African Union would seek a UN Security Council resolution, though he did not mention a timetable.
Hollande said that it was up to the African Union and the Economic Community of West African States (Ecowas) to take the lead in dealing with the threat and seek help from the Security Council.
"This threat exists, it's for the Africans to avert it, for them to decide. Ecowas is at once the judicial instrument for that and the possible military instrument," Hollande told journalists.
"It's for the Africans to go to the Security Council, we will back the resolution put forward by Ecowas," Hollande said.
"If an intervention is decided upon, it's for the Africans to lead it, France like other powers putting themselves at the service of the United Nations."
Mali which was once considered a beacon of democracy in western Africa, has been plunged into chaos since the collapse of Moamer Kadhafi's regime in Libya last year scattered mercenaries and weapons across the Sahel.
Tuareg rebels rekindled their decades-old struggle for independence in January and conquered the entire northern half of Mali virtually unopposed in March. Renegade soldiers accused then-president Amadou Toumani Toure of failing to do enough to fight the rebellion and toppled his regime.
The Tuareg rebels fought alongside a previously unknown Islamist group called Ansar Dine (Defenders of Faith), which is believed to be backed by Al-Qaeda's North African branch.
Al-Qaeda in the Islamic Maghreb (AQIM) has been active for years in northern Mali, where it has launched attacks against government army positions, kidnapped foreigners and allegedly benefited from drug running.
Government troops have no control over Mali's north which is a territory larger than France, heightening fears in the region and beyond that the landlocked country could become a new global haven for Al-Qaeda.