The current article presents the issues related to the work of the collegial bodies of Federal Antimonopoly Service of Russia (FAS of Russia)on examination of appeals brought by the parties of antimonopoly disputes against decisions (orders) of territorial bodies and further appeal of such collegial bodies' decisions. The relevance of these issues is connected with the relative recency of this legal institute, as well as the absence of its detailed regulation and established regulatory enforcement practice. The institute for administrative appeals against decisions and (or) orders of the territorial bodies of FAS of Russia territorial bodies is widely used by business entities, since it allows to significantly shorten the time for resolution of a dispute without resorting to judicial review, which usually takes a long time. This article is a kind of supplement to the previously published "Comments on issues arising from the review by the FAS Russia's collegial bodies of the decisions and orders of the territorial bodies of the FAS Russia", prepared jointly by the experts of the FAS Russia and the Association of Antimonopoly Experts, and considers certain issues unaffected by these comments (standpoint of the authors of the article).