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.

Kerfred

This plugin migrates products, categories, tags, images and CMS from PrestaShop to WooCommerce/WordPress.
It has been tested with PrestaShop versions 1.0 to 9 and the latest version of WordPress. It is compatible with multisite installations.
Major features include:
<ul>
<li>migrates PrestaShop products</li>
<li>migrates PrestaShop product images</li>
<li>migrates PrestaShop product categories</li>
<li>migrates PrestaShop product tags</li>
<li>migrates PrestaShop CMS (as posts or pages)</li>
</ul>
No need to subscribe to an external web site.
<h4>Premium version</h4>
The Premium version includes these extra features:
<ul>
<li>migrates PrestaShop product features</li>
<li>migrates PrestaShop product attributes</li>
<li>migrates PrestaShop product attribute images</li>
<li>migrates PrestaShop product accessories</li>
<li>migrates PrestaShop product combinations</li>
<li>migrates PrestaShop virtual products</li>
<li>migrates PrestaShop downloadable products</li>
<li>migrates PrestaShop employees</li>
<li>migrates PrestaShop customers</li>
<li>migrates PrestaShop orders</li>
<li>migrates PrestaShop ratings and reviews</li>
<li>migrates PrestaShop discounts/vouchers (cart rules)</li>
<li>migrates PrestaShop menus</li>
<li>SEO: Redirect the PrestaShop URLs to the new WordPress URLs</li>
<li>SEO: Import meta data (browser title, description, keywords, robots) to WordPress SEO</li>
<li>the employees and customers can authenticate to WordPress using their PrestaShop passwords</li>
<li>ability to do a partial import</li>
<li>ability to run the import automatically from the cron (for dropshipping for example)</li>
<li>ability to run the import by WP CLI</li>
<li>compatible with PrestaShop multishops</li>
</ul>
The Premium version can be purchased on: <a href="https://www.fredericgilles.net/fg-prestashop-to-woocommerce/" rel="nofollow ugc">https://www.fredericgilles.net/fg-prestashop-to-woocommerce/</a>
<h4>Add-ons</h4>
The Premium version allows the use of add-ons that enhance functionality:
<ul>
<li>Attachments: imports the product attachments</li>
<li>Brands: imports the manufacturers</li>
<li>Suppliers: imports the suppliers</li>
<li>Customer Groups: imports the customer groups and the wholesale prices</li>
<li>Cost of Goods: import the products cost</li>
<li>Custom Order Numbers: imports the PrestaShop order references</li>
<li>Internationalization: imports the translations to WPML</li>
<li>Tiered prices: imports the tiered prices based on quantity</li>
<li>Units: imports the product units</li>
</ul>
<h3>Translations</h3>
<ul>
<li>English (default)</li>
<li>French (fr_FR)</li>
<li>Hungarian (hu_HU)</li>
<li>Russian (ru_RU)</li>
<li>other can be translated</li>
</ul>

FG PrestaShop to WooCommerce

A plugin to migrate PrestaShop e-commerce solution to WooCommerce

Prestashop User Compatibility vs FG PrestaShop to WooCommerce