In the video released yesterday, found on the Internet by the private terrorism watchdog SITE, French national Serge Lazarevic and a man identifying himself as Sjaak Rijke appeal to their governments to negotiate their release.
There is nothing in the footage of Lazarevic to suggest when it was shot, but Rijke says he is speaking on September 26 this year and refers to a US-Taliban prisoner exchange conducted in May.
Lazarevic, 50, who was kidnapped in the Malian town of Hombori in November 2011, appears in a dark headdress and with a thick beard in the front of a pick-up truck with a black jihadist banner behind him.
French authorities confirmed the authenticity of the latest video.
Also Read
The footage is "recent proof of life that was long overdue", the presidential office said in a statement.
"The president is in permanent contact with the authorities of the countries in the region to use all forms of dialogue to achieve the release of our hostage," it said.
The Elysee added that Lazarevic's family was being "continuously kept informed" of efforts to secure his release.
Rijke, 54, was kidnapped as a tourist in the Malian town of Timbuktu, also in November 2011. He has appeared in a series of AQIM videos, most lately in September 2013.
The Dutch foreign ministry said it was aware of the latest video, which lasts less than four minutes. "In the interest of the family we will not be commenting," a spokeswoman told AFP.
Lazarevic, who has dual French and Serbian citizenship, is the last French hostage still being held worldwide, after hiker Herve Gourdel was abducted in Algeria and beheaded in September by Islamic State-linked militants.