This module allows you to synchronize stocks between two Prestashop stores. Each time the CRON is called the stock of the master site is copied on the site of the CRON, which is ideal for the dropshipping.
Both sites must be under Prestashop 1.4, 1.5, 1.6 or 1.7 (the version may be different) and this module must be installed on both sites.
SyncStock