What worries me is that it would be a bit of a hassle to manage all the domains...
Many global corporations with country-specific sites use different domains for each site and make their primary domain (usually www.companyname.com) a gateway where customers can choose their desired country and language. Each country is handled through a specific domain, and multiple languages (when applicable) are often implemented via URL/GET or cookie selection.
Yes, managing many domains is a hassle. The primary reason to choose such a method is recognition in specific locales. For example, .co.jp domains are only available to registered KK companies in Japan (the Japanese equivalent of a C-Corp), so such a domain is very familiar in Japan and give users a sense of added trust. Whether to go with such domain names or not really depends on your business.
If you need to put each site on a different domain (for some reason that you have not specified) but do not want the hassle of managing many domains, then you could consider subdomains: fi.companyname.com is the Finish site and www.compnayname.com is the gateway.
The site is basically same for every country just different languages so it doesn't matter if you enter from Spain or UK, just chose your preferred language.
Thank You for your help.