The most recent attempt to sell Malév a year ago was canceled after the government failed to reach an agreement with Russia's KrasAir.
Malév suffers from competition of low-cost carriers like EasyJet Plc and Ryanair Holdings Plc since Hungary joined the European Union in 2004.
Hungary sold Budapest's Ferihegy Airport for £ 1.26 billion ($2.3 billion) to BAA Plc last December.