In PrestaShop before version 1.7.6.4, when a customer edits their address, they can freely change the id_address in the form, and thus steal someone else's address. It is the same with CustomerForm, you are able to change the id_customer and change all information of all accounts. The problem is patched in version 1.7.6.4.
Cross-site scripting (XSS) vulnerability in PrestaShop before 1.4.9 allows remote attackers to inject arbitrary web script or HTML via the index of the product[] parameter to ajax.php.
PrestaShop 1.5.5 allows remote authenticated attackers to execute arbitrary code by uploading a crafted profile and then accessing it in the module/ directory.
In PrestaShop 1.7.6.2, XSS can occur during addition or removal of a QuickAccess link. This is related to AdminQuickAccessesController.php, themes/default/template/header.tpl, and themes/new-theme/js/header.js.