 Vejkey was a member of the Constitutional Preparatory Ad Hoc Committee from 2010 to 2011, Committee on Foreign Affairs from 2010 to 2014, Committee on European Affairs from 2010 to 2013, Committee on Constitutional Affairs, Justice and Home Affairs from 2013 to 2014.He is a member of the Legislative Committee since 2014.He served as Chairman of the Immunity Committee from 2014 to 2017.