Appealing the Indonesian government for mercy to Singh, his wife Kulwinder Kaur said he has spent 14 years in jail which was enough penance for his crime if he was guilty and he should be sent back to his country.
"I spoke to him twice this morning and he said he is fine. His execution was dropped at the last minute after four others were put to death by the firing squad," Kaur said.
Four of them were put to death by the firing squad last night.
48-year-old Singh was among 10 convicts who were not put to death.
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He was found guilty by an Indonesian court of trying to smuggle in 300 grams of heroin and was handed death penalty in 2005.
"A priest was invited and a van had also arrived to carry his body but the execution was halted at the last minute. He was then sent back to the prison," she said.
Expressing gratitude to the central government for its efforts, she said "Swaraj has been constantly in touch with me and has assured me that the government is trying everything to save Gurdip from execution."
Singh, who hails from Jalandhar in Punjab, is among 14 people who were facing execution after the authorities decided to resume implementing death penalty.
The 14 convicts included persons from Indonesia, Nigeria, Zimbabwe and Pakistan.
Singh was arrested on August 29, 2004, at the Soekarno Hatta Airport on charges of drug trafficking. The Tangerang Court awarded him capital punishment in February 2005, against the prosecutors' request for 20 years imprisonment.