Eesti Ekspress Eesti Ekspress is an Estonian weekly newspaper. is an Estonian weekly newspaper. Founded in 1989, Eesti Ekspress Eesti Ekspress is an Estonian weekly newspaper. was the first politically independent newspaper in the Estonian Soviet Socialist Republic during the Soviet control of Estonia. The paper is published by AS Eesti Ajalehed, a part of the public media company Ekspress Grupp Ekspress Grupp is an Estonian media and publishing company. (EEG1T) which is listed on the Tallinn Tallinn, the largest city and capital of Estonia (population 440 000). Stock Exchange.