In his maiden address to the UN General Assembly yesterday, Abbasi accused India of indulging in terror activities against his country and warned of a "matching response" if it "ventures across the LoC (Line of Control)" or acts upon its doctrine of limited war against Pakistan.
"The Kashmir dispute should be resolved justly, peacefully and expeditiously. As India is unwilling to resume the peace process with Pakistan, we call on the Security Council to fulfil its obligation to secure the implementation of its own resolutions on Jammu and Kashmir," he added.
He said despite over 600 ceasefire violations on the India-Pakistan border since January this year, Pakistan has acted with restraint.
"But if India does venture across the LoC, or acts upon its doctrine of limited war against Pakistan, it will evoke a strong and matching response," he said in his speech in which he raised his anti-India rhetoric.
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India is expected to soon take up the podium to respond to Abbasi's remarks on Kashmir.
Abbasi, who assumed office few months ago, mentioned Kashmir a total of 17 times and India 14 times among other things in his speech.
He also said that from day one of its creation, Pakistan has faced unremitting hostility from its eastern neighbor (India).
"India refuses to implement the unanimous resolutions of the UN Security Council, which mandate a UN supervised plebiscite to enable the people of Jammu and Kashmir to freely decide their destiny," he said.
"Shotgun pellets have blinded and maimed thousands of Kashmiris including children. These and other brutalities clearly constitute war crimes and violate the Geneva Conventions," he charged.
Abbasi demanded an international investigation into the alleged atrocities in Kashmir and sending of an inquiry commission to Jammu and Kashmir in order to secure the punishment of those "responsible of human rights violation" and provide justice and relief to victims.
"This dialogue must be accompanied by an end to India's campaign of subversion and state sponsored terrorism against Pakistan, including from across our western border," Abbasi said.