Subsequently, he was, among other things, secretary general of the ministry of higher education and scientific research and secretary general of the ministry of labour and social affairs.
Upon his return, Dembri took over the post of Minister of Foreign Affairs from Redha Malek in 1993, who in turn took up the post of Prime Minister on 23 August 1993 and formed a new government.
He then became Permanent Representative to the United Nations Office at Geneva in 1996 and remained in this post until 2005.
Dembri was accredited as Ambassador Extraordinary and Plenipotentiary to the United Kingdom from September 2005 to 2010.
He was also the founder of the National Institute for Global Strategic Studies and the author of numerous articles in professional journals.