Since 2016 Malaj serves as Member of the Supervisory Council of the Bank of Albania and is Honorary President of the Institute for Public Policy and Good Governance, a think-tank he co-founded in 2013.

Prof. Malaj is the author of several economics studies and has mentored many doctoral candidates on topics related to local and global financial developments.

Finishing university with distinguished results, he was appointed as the National Commercial Bank – Financial Representative for the Vlora branch.

He held this function until 1992, year when his professional capacity was promoted in the position of executive director for the National Bank of Albania in the southern region.

The high performance led him in SME, Tirana Regional Director for the EU PHARE Program where Malaj's qualitative standards signed a new success for his career.

Anyway, his contribution for this party was frequent and persistent, until the moment when Malaj became a Member of the Parliament, as a representative of VLORA in 1997 and Minister of Finance in the Government of National Reconciliation for five months (March – July).

During his first term as Minister of Finance for Albania, the country's economy was facing a very difficult and tend situation because of the Ponzi scheme failure.

March 2009 “International Leadership Conference – Building a world of Peace” Seoul, South Korea February 2007 "Learning from mistakes", History of pyramid schemes in Albania.