1 Introduction – 2 The specific language of the Uncitral Model Law – 2.1 What the specific language of the Uncitral Model Law is actually saying? – 2.2 What internationality is not, in the context of the Uncitral Model Law? – 2.2.1 Internationality, concerning arbitration procedures, is not the contrary of nationality – 2.2.1.1 The first possible meaning: international procedures and awards versus national procedures and awards – 2.2.2 Internationality, concerning arbitration procedures, is not only about (a) extraterritoriality, (b) application of different national laws, (c) multiple nationality of the parties or (d) the combination of all the above – 2.2.2.1 The second possible meaning: would it all sum up to a (a) topographic criteria, (b) multiple regulations, (c) different nationalities or (d) a potpourri of the above? – 2.2.2.1.1 About the topological token – 2.2.2.1.2 About the jurisdictional token – 2.2.2.1.3 About the multiple nationality of the parties – 2.2.2.1.4 About the potpourri of criteria – 2.3 What internationality is, in the context of the Uncitral Model Law – 2.4 Commerciality as the controlling criterion for the determination of the internationality of a given arbitration procedure. Twin tests connected by function – 3 A particular consideration – 3.1 The case of the article 1 (3) (c) of the Uncitral Model Law – 3.2 The article 1 (5) of the Uncitral Model Law and the public policy reservations – 4 Characteristics of internationality, according to the Interpretation Construed Hereby – 5 Conclusion.