Israeli diplomats in India have been on constant alert since Pakistan-based militants rampaged across the Indian city of Mumbai in 2008, attacking luxury hotels, the main train station and killing six people in the Chabad Jewish community center.
India's foreign minister, S.M. Krishna, said India would cooperate closely with Israel in the investigation.
"I have just spoken to the Israeli foreign minister," he said. "I assured him that the law of the land will take its course."
Authorities in the former Soviet republic of Georgia said an explosive device was planted on the car of a driver for the Israeli Embassy.
Shota Utiashvili, spokesman for the Georgian Interior Ministry, said the driver noticed a package attached to his car's undercarriage and called police.
Police found a grenade in the package and it was defused, Utiashvili said.
Image: Individuals believed to be from the Israeli Embassy, foreground left, look on after an explosion tore through a car belonging to the Israel Embassy, center, in New Delhi on Monday.