Both have given up much of those gains in recent months.
Two industry sources briefed by government officials also said they had been told the plan was on hold, which also marks a setback for exchanges in New York and London, which had been vying for a slice of India's rapidly growing start-up economy.
Global investors have pushed for India to allow overseas listings, saying foreign markets would give Indian companies better access to liquidity and capital. But such a move, which has been under consideration since at least 2020, has deeply divided Indian policy makers.
Nationalist group Swadeshi Jagran Manch, the economic wing of the ideological parent of Modi's ruling party, opposed the plan, saying such listings would mean less Indian oversight of domestic firms, while Indian investors would find it more difficult to trade in shares of companies listing abroad.