Not only delivery to a country (delivery threshold) may require VAT registration, but also storage in a country triggers VAT obligations.
If, for example, you sell your goods in Europe with Amazon FBA and accordingly use Amazon’s warehouses in Europe, you must register for VAT in every country where your goods are stored in a warehouse!
So, apart from reaching the annual threshold limit, the storage is the main reason for registrations. It is also important to mention that in the case of registration obligations due to storage, advance VAT returns must be submitted on the day of the first storage and further reports may be required as well.