Rimi Rimi Baltics is major retail operator in the Baltic states based in Riga, Latvia. It operates more than 88 grocery stores in Estonia. Baltics is major retail operator in the Baltic states based in Riga, Latvia. It operates more than 88 grocery stores in Estonia. The stores have different profiles, depending on range of products and size - hypermarkets, supermarkets, and convinience stores. The Rimi Rimi Baltics is major retail operator in the Baltic states based in Riga, Latvia. It operates more than 88 grocery stores in Estonia. Baltics was created in 2004.