The friendly will be played in England at Craven Cottage, the home stadium of Fulham, four days after the Socceroos face Norway in Oslo.
Colombia are ranked 13th in world football and pose a stern test for the new Australian national coach, who is set to be named in mid-February.
FFA Chief Exectuive Officer David Gallop was thrilled at the announcement.
“We are excited to have secured the match against Colombia, which offers us a good challenge against strong South American opposition leading into the FIFA World Cup,” Gallop said.
“We believe that we have managed to put together a strong set of matches [Norway & Colombia] for our soon to be appointed head coach to cast his eye over the squad, and continue to prepare our players for Russia.
“We are thankful to the Colombian Football Federation for hosting us at Craven Cottage as we continue to build towards Russia.”
Colombia boasts an array of world class talent, featuring the likes of James Rodriguez, Radamel Falcao and Davinson Sanchez.
Australia and Colombia have met three times in their history, with Colombia winning two and another finishing a draw.