President Asif Ali Zardari and Prime Minister Yousuf Raza Gilani discussed the regional situation during a meeting on Tuesday and decided "to carry out a credible investigation of the evidence provided by India", The News daily said quoting sources.
The two leaders decided that Pakistani investigators should "professionally analyse" the information about the terrorist attacks, the Daily Times quoted sources as saying.
They also agreed that Pakistan should extend "complete cooperation to India in the investigations".
Zardari and Gilani also agreed that if anyone is found guilty, "action will be taken against them in accordance with (Pakistani) laws and no one will be handed over to India".
Information Minister Sherry Rehman on Tuesday said Pakistan should be provided access to the scene of the crime so that it could push forward its own probe into the Mumbai attacks.
India and Pakistan had traded angry words on Tuesday over the issue of involvement of Pakistan's official agencies in the Mumbai attacks.
Hours after Prime Minister Dr Manmohan Singh said some official agencies had backed the attacks, Pakistan issued a strongly worded statement to refute the charges.
Media reports also quoted sources as saying that Zardari and Gilani had rejected Singh's comments.
On Monday, India handed over a dossier on its probe into the Mumbai attacks to Pakistan, asking it to take action against elements involved in planning and executing strike.