The incident took place on Thursday in the capital city.
Police have deemed that the explosion was caused by a parcel bomb.
Papademos has suffered injuries in his stomach, legs and arms.
The victims were later moved to a nearby hospital.
However, they are said to be out of danger.
"Papademos’s condition “is stable and not a cause for concern,” a hospital statement read.
No group has claimed responsibility for the attack so far.
images: Screengrab from YouTube