It also asked the government whether it has studied the ramifications of raising the issue on the international fora.
Congress spokesperson Ajoy Kumar hit out at the Modi government on its Kashmir policy, describing it as "knee-jerk" and "direction-less", and asked the prime minister to find some time to resolve and address it.
He said it was very important for the government to take all steps to bring back Jadhav, who is facing death sentence in Pakistan after being sentenced by a military court there.
"We are only saying has the government thought about the ramifications of this. It is for the government to answer. We will be happy if it has a positive outcome that it has no other ramifications.
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"Our only caution is looking at how this government behaves. Has it thought about it or is it obsessed with the news cycle which can be detrimental for India's security," he said.
"We should understand if we have given Pakistan an opportunity to internationalise the issue. The government needs to be sensitive on the issue."
"Has India been exposed to carrying that kind of risk because it also allows Pakistan to go to the International Court of Justice?" he asked.
The Congress leader further asked if India moving the ICJ gives the Pakistanis the right to question and internationalise this issue which they are looking at doing.
Taking on Modi over the Kashmir situation, he said, "We would really request the frequently-tweeting prime minister to find some time to actually address and resolve and take positive steps on the Kashmir imbroglio."
Kumar also dubbed the current dispensation as "Bharatiya Jungle-raj party's (BJP) government", going by the manner in which the law and order is being challenged across the country by self-proclaimed vigilantes.
"The country and institutions are being attacked by the BJP and their leaders. Leaders of BJP, VHP, Hindu Vahini and others are acting like police and self proclaimed protectors of law," he said, adding officials trying to do their job diligently are attacked and abused.
He also accused the government of trying to impose on people what they should eat, wear and even whom to sit with.
"The manner in which there is blatant violation of the law and the way they (leaders of BJP and other bodies) have weakened the law and order machinery, things will worsen in the future," he said.