The Washington Post reported that Pakistan had agreed to a deadline imposed by the United States and India to arrest three people and formulate a plan to take action against a militant group accused of involvement in the attacks.
The US daily quoted an unnamed Pakistani official saying India had asked Pakistan to hand over a leader of the group, Lashkar-e-Taiba, as well as a former director of Pakistan's Inter-Services Intelligence (ISI) agency.
Some Indian papers allege the powerful spy agency trained the attackers.
But Pakistan?s foreign office on Sunday denied any such deadline had been set.
'There is no deadline, India has not set any deadline, this is all rubbish,' foreign office spokesman Mohammad Sadiq told AFP.
The 60-hour Mumbai siege by Islamic militants has badly affected relations between India and Pakistan, the nuclear-armed South Asian neighbours who have fought three wars since independence from Britain.
India says all 10 gunmen involved in the assault came from Pakistan, and has handed Islamabad a list of 20 terror suspects, with demands for their arrest and extradition.
Suspicion has focused on Lashkar-e-Taiba, a Pakistan-based militant group which has fought Indian control of divided Kashmir.
Lashkar was blamed for an attack on the Indian parliament in 2001 which pushed the two nations to the brink of war.