MUMBAI—Hundreds of thousands of products are back on Amazon.com Inc.’s India website after the online retailer restructured its investments to get around restrictions that had forced sellers to pull items from the site this month.

The U.S. company sold part of its stake in a joint venture whose subsidiary sold products on the website, bringing it in line with the new rules because Amazon’s holding in the joint venture is now below the threshold to make it a group company, a person familiar with the matter said.