Its spokesperson Sambit Patra flashed copies of a Facebook page which shows an advertisement of the opposition party calling for "Desh bachao, Modi hatao" (Save country, remove Modi), with Pakistan being highlighted as the location.
"What does it mean? You are running a campaign in Pakistan against our popular prime minister in Pakistan," he told reporters.
It is understandable if a campaign against the prime minister is run in India by the opposition party but why it should sponsor this in Pakistan, he asked.
"Congress leaders have been showing their love for Pakistan," he alleged and cited Punjab minister Navjot Singh Sidhu's reported comments that he culturally connected more with the neighbouring country than with South India, to attack the opposition party.