In the years 2005–2007, Alibeaj served as the Director of the Department of Internal Administrative Control and Anticorruption at the Council of Ministers.

The appointment in this position is the direct competence of the Prime Minister and the department he led constitutes an important and efficient structure of the administrative investigation of the activity of the state administration, having concrete results and appreciated by the internal opinion and international organizations.

[citation needed] Alibeaj had participated in a number of seminars, conferences, activities and training courses abroad related to criminal procedural law (Italy, Poland), human rights (Strasbourg), judicial reform (Bulgaria) or in the field of anti-corruption.

He has also been engaged by the OSCE - Presence in Albania as one of the best local experts in the field of election systems and legislation.

[6] This ongoing division has led to internal conflict, particularly around who would represent the party in the upcoming local elections.