Minister of State for External Affairs V K Singh today said data was immediately deleted by the recipient and was not distributed further.
Modi was among the world leaders whose personal details like passport number and date of birth were inadvertently e-mailed by an Australian Immigration official to a member of the Asian Football Cup Organising Committee.
"The breach was referred to the Office of the Australian Information Commissioner and the department has reviewed and strengthened its e-mail protocols to limit and contain future breaches," he said.
Besides Modi, US President Barack Obama, Russian President Vladimir Putin, German Chancellor Angela Merkel, Chinese President Xi Jinping, Japanese Prime Minister Shinzo Abe, Indonesian President Joko Widodo and British Prime Minister David Cameron were among those whose details were leaked.