Earlier, Pakistan had offered to allow Kulbhushan Jadhav to meet his wife in the jail.
However, the women's travel permission is linked with certain pre-conditions.
"We have sought sovereign guarantee from government of Pakistan to ensure the safety and security of Kulbhushan Jadhav's wife and mother".
"We have further asked that a diplomat from our High Commission in Pakistan shall be allowed to accompany them at all times, including during the meeting", he added.
Jadhav was sentenced to death by a Pakistani military court in April on charges of espionage and terrorism.
The Pakistan Government had made a decision to arrange a meeting of Jadhav with his wife, purely on humanitarian grounds.
Pakistan has been referring to Jadhav as commander since he was picked from Balochistan, in an attempt to imply that he was a serving Indian official.
Pakistan claims that its security forces arrested him from restive Balochistan province on March 3 past year after he reportedly entered from Iran.
Pakistan's foreign ministry has said that it received India's response and is considering it, The Indian Express reported.
India has warned Pakistan of consequences and damage to bilateral ties if the "premeditated murder" was carried out.
India had been trying to arrange a meeting between Jadhav and his family members since July and had also moved a visa application for his mother.
India acknowledges that Jadhav had served with the Indian Navy but denies that he has any connection with the government.
In May, following an appeal by India, the International Court of Justice in The Hague asked Pakistan to hold off the execution of Mr Jadhav till it reached its final verdict.