In PrestaShop from version 1.5.0.0 and before version 1.7.6.6, the authentication system is malformed and an attacker is able to forge requests and execute admin commands. The problem is fixed in 1.7.6.6.
In PrestaShop between versions 1.7.0.0 and 1.7.6.5, there are improper access controls on product page with combinations, attachments and specific prices. The problem is fixed in 1.7.6.5.
In PrestaShop before version 1.7.6.5, there is a reflected XSS while running the security compromised page. It allows anyone to execute arbitrary action. The problem is patched in the 1.7.6.5.
In PrestaShop between versions 1.7.6.1 and 1.7.6.5, there is a reflected XSS on AdminFeatures page by using the `id_feature` parameter. The problem is fixed in 1.7.6.5
In PrestaShop between versions 1.7.6.0 and 1.7.6.5, there is an open redirection when using back parameter. The impacts can be many, and vary from the theft of information and credentials to the redirection to malicious websites containing attacker-controlled content, which in some cases even cause XSS attacks. So even though an open redirection might sound harmless at first, the impacts of it can be severe should it be exploitable. The problem is fixed in 1.7.6.5