How can I get two different product searchs?

Hi,

Here is something that might work:
First, go in the menu Display>Custom fields and configure a custom field of the type "single dropdown" with all the countries you want to support as values and in each product select the country for which that product is. The custom field can be made a multiple dropdown if you need to be able to select several countries for some products.
You could then have two filters configured via the menu Display>Filters:
- one of the type "text" where the customer could enter the text he wants to search based on the "product name" and maybe other columns of the products (like for example the product code).
- one of the type dropdown or list or radio applying on the country custom field where the customer can select the country on which the search will apply so that it will only take into account the products where that country has been selected.

Now, if you have the "redirect POST mode" setting activated in the HikaShop configuration, the parameters of the filters will go through the URL of the page when you use the filters and you'll be able to create menu items directly with the country preselected in the country selection filter (if that's necessary).

Now regarding the joomla smart search, HikaShop is not integrated with it, so unless you develop a plugin to integrate HikaShop with it, you won't be able to use it with HikaShop and even if you do, I don't see a way to have it support a country selection like you can do with the HikaShop filters system.