Earlier the Supreme Court had rejected the plea upholding special CBI court's decision of not summoning 14 witnesses in the case.
The Talwars had challenged CBI court's decision regarding the 14 witnesses. The couple had appealed to record all witnesses statements once again.
While recording his statement in the CBI court on Monday, Rajesh Talwar claimed that he was asleep on the fateful night when his 14-year-old daughter Aarushi and domestic help Hemraj were murdered. Mr Talwar also asserted that internet activity recorded from his room might not be correct.
Mr Talwar, who along with his wife Nupur are the sole suspects of the double murder case, was asked about the recurrent internet activity recorded from his router on May 15 night when the murders took place.
The investigative agency Central Bureau of Investigation (CBI) had claimed that Mr Talwar had used the internet at regular intervals which show he was awake and knew about happenings in Aarushi's room.
Aarushi was found dead at her Noida residence on May 16, 2008. Initially needle of suspicion was pointed at their domestic help Hemraj. However, a day later, their domestic Hemraj's body was also found in the terrace of their house.