The owner of Health Valley cereal and Terra chips has been working with Centerview Partners to explore a strategic review that could include a sale.
Nestle has had conversations about buying the company as a whole or in parts, Bloomberg said.
Hain's strategic review comes after a fight with activist investor Engaged Capital that led to changes in its board.
Shares of Hain, which has a market capitalization of $4.3 billion, spiked 7 percent before being halted in afternoon trading. After resuming trade, Hain shares ended the day 2.6 percent higher at $40.89.