Based on the order of the government, from 17 March 2020 the Foreign Ministry is temporarily suspending the admission of applications for Schengen visas and long-stay visas to Estonia at Estonia’s representations and visa centres due to the spread of the coronavirus. This also applies to Schengen visa applications processed by Estonia on behalf of another member state.
https://vm.ee/en/news/estonia-temporarily-suspends-issuing-schengen-visas