Pistorius, who is charged with murder in the death of Steenkamp, has not been ordered to pay her parents but his attorneys are in negotiations with them, News 24 reported Monday.
Steenkamp died at Pistorius' home in Pretoria in February 2013. Pistorius has claimed he shot her after he mistook her for an intruder.
The Steenkamps run a pub near Port Elizabeth they bought with money paid for interviews after their daughter's death.
Notable deaths of 2014 [PHOTOS]
Syrian Al Qaida group executes Lebanese soldier