India has appealed to Pakistan to release Sarabjit Singh, who is in a coma in Pakistan where he has been held since his conviction for spying.
The statement said it was clear from the latest medical bulletin put out by doctors in Pakistan that Singh's condition "remains critical".
India's government informed Sarabjit Singh's family that Pakistan had granted visas for four family members to visit.
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Mr. Singh's family traveled to Pakistan to visit him in the hospital but returned to India on Wednesday.
His family maintained Singh was innocent and had entered Pakistan inadvertently from his hometown of Bhikiwind in northern Punjab state bordering Pakistan.
Sarabjit Singh, sentenced to death by Pakistan in 1991 for spying, had been attacked with bricks by inmates in Lahore's Kot Lakhpat jail a week earlier.
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Mr. Singh had been in jail in Pakistan for more than two decades after a court convicted him for spying and involvement in 1990 bombings in Lahore and Faisalabad that killed 14 people.
Mr Krishna said he would also urge Pakistani authorities to pardon and release Indian national Sarabjit Singh who is on death row in Pakistan.
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They may also hope to scupper cautious efforts by India's prime minister, Manmohan Singh, to restart peace talks with Pakistan, which had collapsed after the 2008 assault.
Mr. Singh was born on what is now the Pakistan side of the border.
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Mr Singh's defence, that to let Pakistan air fictive grievances was a tribute to Indian magnanimity and strength, looked weak.
Mr Singh is keen to show both Kashmiris and Pakistan that he is sincere in seeking a settlement of the dispute.
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Singh, who is in the intensive care unit of Pakistan's Jinnah Hospital, is in a critical condition.
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But, at a later news conference, Mr Singh underlined the obstacles India sees to resuming dialogue with Pakistan.
Pakistan says top neurosurgeons and physicians are providing Singh with the best treatment.
BBC: Sarabjit Singh: Family of Indian 'spy' back from Pakistan
Mr. Singh had spent more than two decades in jail in Pakistan in connection with charges of spying and bombings that killed 14 people in 1990.
Prime Minister Singh said that India was ready to discuss all issues with Pakistan, including all outstanding issues.
Later, at a press conference, Mr Singh also dampened hopes of an imminent breakthrough in talks with Pakistan.
Pakistan authorities then said they would release Mr. Singh as part of a prisoner swap with New Delhi, but they released a different Indian man convicted in the 1980s of being an Indian spy.
Singh was arrested in 1990 after bombings in Lahore and Faisalabad, Pakistan, that killed 14 people.
Biki's dad, Mohan Singh Oberoi, grew up in a village in what is now Pakistan and started as a billing clerk in the Cecil, a luxury hotel in the Himalayas.
Ansar Burney, Pakistan's human-rights minister, had discovered Mr Singh's plight himself.
Prime Minister Singh reiterated India's interest in a stable, democratic Islamic Republic of Pakistan.
Singh was convicted for spying and sentenced for bomb attacks that killed 14 people in Pakistan in 1990.
BBC: Sarabjit Singh: Family of Indian 'spy' back from Pakistan
"The Pakistan government will have to answer to the entire world, " Mr. Singh's sister, Dalbir Kaur, said.
The Times of India said Singh's death is "the latest in a series of blows to India-Pakistan ties".
Pakistan's foreign office said the government was completing all formalities to hand over Singh's remains to the Indian high commission in Islamabad as early as possible.
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