curlybracket

This plugin will allow you to automatically rehash the passwords of users you have beforehand imported from a Prestashop database to your WordPress database.
This is useful if you are migrating a website from Prestashop to WordPress.
It allows users to authenticate via their email address, like on a Prestashop installation.
Upon login, the plugin will check the password entered by the user, against the value stored in the database. Using the COOKIE_KEY of the former Prestashop installation, it’ll verify if the password is correct and, only in that case, it’ll rehash the password using WordPress’ default hashing algorithm and insert the new password to the database. Then it’ll try logging in.
In every other case, login will function normally, so if there is an error, it’ll be returned.
In a while, every former Prestashop user you have imported to your WP DB will have their passwords securely rehashed.
First tested successfully with Prestashop 1.3.5 and WordPress 3.6. 
Lately tested successfully with Prestashop 1.5.6.1 and WordPress 3.9.

Prestashop User Compatibility

This plugin will automatically rehash the passwords of users you have beforehand imported from a Prestashop database to your WP database.

jotraverso

Provide a sidebar widget for getting content from Prestashop via the REST API and show it with jcarrousell lite.
<h3>Configuration</h3>
The widget need a few integration and behavioural parameters:
<ol>
<li>Prestashop’s web service authorization key. It should be generated from Prestashop’s admin site.</li>
<li>REST query for products. The widget expects a full view result, so the query must include “display=full” parameter.</li>
<li>Prestashop base URL. The Prestashop location URL (without the last bar ‘/’), it’s used when the widget build prestashop’s links.</li>
<li>JCarrousell Lite easing effect. Labeled with “Efecto de transición (easing)”, choose from a value from the dropdown menu.</li>
<li>JCarrousell Auto. Labeled with “Pausa (milisegundos)”, milliseconds to keep every product.</li>
<li>JCarrousell Speed. Labeled with “Velocidad (milisegundos), Number of milliseconds, speed for the transition.</li>
</ol>

Prestashop Saiyandev Widget

Provide a sidebar widget for getting content from Prestashop via the REST API, and show it with jcarrousell.

Prestashop User Compatibility vs Prestashop Saiyandev Widget