On Harju street nr 1 there is a Marina Rinaldi boutique. The clothes seem really nice their website is http://ee.marinarinaldi.com/
Travelers who live outside the European Union (EU) are entitled to claim back the VAT/GST on their purchases, if they are exported from the EU within three months plus months of purchase. Total sales price of the purchased goods must be at least 38,36 EUR (incl. VAT) in a store per day.
The VAT in Estonia is 20% for goods.
The process is very easy you need to buy the product at a store with a Global Blue logo fill a Tax Free Form and stamp it at the customs while exiting the EU, after that you cash the VAT – the service fee from a Refund Counter.
For more information how to shop tax free go to www.globalblue.com