Algerian and French media reported that Bouteflika, who was last year treated for a stroke in France, returned for care on Tuesday.
The Algerian justice minister claimed a militant involved in the September abduction of French tourist Hervé Gourdel was killed last month.
Algeria refused to send investigators in France crucial samples of the skulls of the seven monks murdered in mysterious circumstances in 1996.
Judge Marc Trévidic and his team will oversee exhumation of the monks' heads, buried at their monastery in Tibhirine, 80km south of Algiers.
Soldiers killed the five gunmen during hunt for the killers of French tourist Hervé Gourdel who was beheaded in Algeria last month.
The brutal execution of French climber Hervé Gourdel by a little-known terrorist group in Algeria has thrown the spotlight on attempts by Islamic State (IS) to extend its network of influence across North Africa and beyond. The Algerian group Jund al-Khilafa kidnapped and beheaded the French mountaineer as a gruesome and public sign of allegiance to the Iraq and Syria-based group. But so far Islamic State has failed to win the allegiance of any other group in Africa as it competes with al-Qaeda for dominance among the jihadist groups of the world. As Pierre Puchot reports, its attempt to be the global leader in jihadism may depend on lasting control of Iraqi oil wealth.
Algeria's justice minister says initial investigation has identified 'certain members' of terror group who murdered Hervé Gourdel.
The rally in the hometown of the hostage beheaded by Algerian Islamists, came as flags were lowered to halfmast across France in mourning.
France has authenticated a video of the beheading of Hervé Gourdel, which President Hollande said was a 'cruel and cowardly' act.
An Algerian Islamist group captured the 55 year-old tourist on Sunday and threatened to execute him unless France halted strikes against IS.
The French Prime Minister said French action against IS will go on despite Algerian Islamist group's threat to kill a French hostage.
A splinter group from al-Qaida's North African branch says it will kill the 55-year-old unless France ends air strikes against IS in Iraq.
Planned presence of three representatives of Algerian military on July 14th causes dismay in Algeria and among far-right groups in France.
The right-wing mayor Christian Estrosi announced ban until end of tournament following riots after the last two Algerian games.
Far-right leader says disturbances in France after Algeria's win show immigration policy had 'failed' and that dual-nationals refuse to 'assimilate'.