Nikodim is said to have participated in negotiating a secret 1960s agreement between Soviet and Vatican officials that authorized Eastern Orthodox participation in the Second Vatican Council in exchange for non-condemnation of atheistic communism during the conciliar assemblies.
Metropolitan Nikodim berkata telah berpartisipasi dalam menegotiasiasikan sebuah perjanjian rahasia 1960an antara Soviet dan para pejabat Vatikan yang mengotoritaskan partisipasi Ortodoks Timur dalam Konsili Vatikan Kedua dalam pertukaran non-kondemnasi komunisme ateistik pada majelis-majelis konsiliar.