SanDisk has hired a bank to explore a potential sale, Bloomberg reported, citing sources familiar with the matter.
No decision has been made and the talks may not result in a transaction, Bloomberg said.
Shares of SanDisk - which makes products for cloud computing, data centres, smartphones and laptops - rose 10.9 percent to $68.50 in extended trading on Tuesday. Micron was up nearly 3 percent and Western Digital under 1 percent.
SanDisk, Western Digital and Micron did not immediately respond to requests seeking comment.
SanDisk was valued at about $12.6 billion (roughly Rs. 82,066 crores) as of the stock's close of $61.77 on Tuesday. The stock is down about 37 percent year-to-date.
The company has been grappling with a delay in sales of certain embedded parts used in solid-state drives, which are faster and more reliable than traditional hard disk drives.
Several companies would view SanDisk as a strategic asset, Nomura analyst Romit Shah said last week, adding he believed SanDisk would reject offers short of $90 per share.
China's state-backed Tsinghua Holdings Co Ltd on September 30 said it plans to buy a 15 percent stake in Western Digital.
© Thomson Reuters 2015