The TWU made the claim after Qantas rejected a proposal, drawn up by the union and EY, to keep the ground handling roles in-house.
The last of four government-supplemented repatriation flights departed from India on Friday and landed in Darwin the next day.
Unions lose appeal to allow Qantas workers, including a 30-year veteran undergoing cancer treatment, to claim sick leave while stood down.
Qantas CEO Alan Joyce has visited Melbourne to hold talks with Victoria Premier Daniel Andrews over moving the airline's base, say reports.
A new batch of government supplemented repatriation flights will take stranded Australians home from France and Germany in December.
Qantas has announed a deal to fast-track top-tier Velocity frequent flyers' to become 'Gold' members of its loyalty scheme.