I'm studing a way to create my company domain based on it's name. Consider that my company's name is Another Store and I want to register a domain like anothersto.re - this is just an example. That domain is strictly chosen by marketing. What happens is that my company is stabilished in Brazil and our domain here is .br. The .re domain stands for an island near France so haves nothing to do with my country.

If that domain is chosen what it can imply about SEO questions? Did it will have any influence on search engines results considering that they look over user's region?

This kind of domain use became common between modern companies - and marketing strategies - and that is why I'm considering it.