The screenplay for "3096" was drafted by Eichinger before he died in January 2011, Welt am Sonntag reported. His Oscar-nominated "Downfall", set in the claustrophobic final days of Nazi Berlin, was a global hit.
Northern Ireland-born actress Antonia Campbell-Hughes, 29, who appeared in the 2009 film "Bright Star", will play Kampusch - an Austrian girl who in 1998 was kidnapped aged 10 on her way to school in Vienna and kept prisoner for over eight years.
Her kidnapper, Wolfgang Priklopil, from whom she escaped in 2006 and who killed himself the same day, will be played by Danish actor Thure Lindhardt, Welt am Sonntag said.
As a young child, Kampusch is reported to be played by 10-year-old Amelia Pidgeon, from London.
The film, which is due to begin shooting in May in Munich, is called "3096" - the number of days Kampusch was held captive.
Her escape was an international sensation and she became a star in Austria, feted for her poise and seemingly high level of education gained by listening to the radio, when she appeared on television.