No, do not close e-muranoshop.com - make murano-store.com a stand alone entity, for purposes of e-commerce coming out of Italy I respectfully suggest that you look to forzieri.com as being a 'stand out' example of what you should be doing.

The problem with what you're doing is that if a customer is coming into murano-store and wants to buy something you're sending them to e-muranoshop and it just feels awkward and the pop up screen really doesn't work that well.

For purposes of traffic, internally on your website the only thing you can do is to write descriptions of the products, have appropriate meta tags, etc. There is only so much that you can control internally. The reason you de-link the two sites is because I believe google is looking at this site (murano-store) as a potential affiliate site and they typically don't rank well.

Of course, always be acquiring links.

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