The proposal came up as Sarabjit's condition worsened and India was not sure about the quality of medical treatment being given to him, sources said.
India was provided with daily updates about Sarabjit's medical condition at 10 am and 10 pm and these were analysed by doctors here.
However, before the plan to send Indian doctors could fructify, Sarabjit passed away in the wee hours of Friday, May 2. There were issues with regard to getting visas, the sources explained.
The proposal was mooted while India suggested to Pakistan that Sarabjit may either be shifted here or to a third country for treatment.
There were reports saying that Pakistan was "positively considering" India's request for sending Sarabjit to a third country but it took too late to decide.
The sources underlined that India had suggested shifting of Sarabjit here as medical care in India is anyday better than that in Pakistan.
Asked whether another autopsy would be conducted on Sarabjit's body after arrival here to ascertain the cause and time of death, the sources did not rule it out.
On whether the incident will have any impact on the normal business with Pakistan, the sources said already no meetings have been scheduled at Secretary-level since two Indian soldiers were beheaded on LoC in January. Also Pakistan is in election-mode.
"We cannot pre-judge. We will keep monitoring the situation and see after elections in Pakistan," the source said.