Regional parties had a different take with the ruling PDP and opposition National Conference of Jammu and Kashmir welcoming the dialogue while Shiv Sena did not share its ally BJP's enthusiasm on the issue.
Hailing the outcome of the meeting between the two leaders in Ufa, Russia, BJP spokesman M J Akbar said Pakistan has for the first time accepted India's "definition" of terrorism.
"A word, an adjective is being used to describe the meeting which is 'breakthrough'. The reason for this is very clear... Perhaps there is a glimmer of light in the bilateral relationship. Perhaps there is an opportunity of taking the relationship forward," Akbar said.
For the first time, he said, Pakistan has accepted India's "definition of terrorism that terrorism in all its forms is unacceptable".
That is a change from the "nuanced game" Pakistan has played on the subject by differentiating between "good and bad terrorists", he said.
"An important concession has been made by Pakistan," he said. Pakistan has also accepted the voice samples, recording of conversation between terrorists and their Pak-based handlers during the terror attack, provided by India, he said.
However, Congress was quick to dismiss BJP's enthusiasm on the issue. Former Union Minister Anand Sharma said the outcome of the meeting was a dilution of India's long-held positions on terrorism and commitments extracted from Pakistan on the issue.