In this article, George P. Pefanis discusses two major aspects of the ‘event’, as formed and developed in late Derridean philosophy – namely, the ‘possibility of the impossible’ and the ‘experience of perhaps’. These aspects are examined in order to reveal the potential for precariousness and uncertainty engendered by performance art, as in the case of the animal-event. With its increased degree of indeterminacy and its projected singular, here-and-now character, performance art could leave open the way to the ‘other’, the unpredictable, and the unexpected that is the ‘animal-event’, since an animal can never be fully controlled or have its behaviour predicted by the theatre mechanism. Two performances are taken as case studies to demonstrate this: the emblematic I Like America and America Likes Me by Joseph Beuys (René Block Gallery, New York, 1974), and Dragon Heads by Marina Abramović (Museum of Modern Art, Oxford, 1990). It is argued that both cases pose certain moral issues around the presence of animals on the stage. George P. Pefanis is Associate Professor in the Department of Theatre Studies at the National and Kapodistreian University of Athens, and also teaches theatre and cinema history at the Open University of Greece and Cyprus. His publications include Adventures of Representation: Scenes of Theory II, Spectres of Theatre: Scenes of Theory III (both 2013) and Theatre Adherents and Philosophers (Athens, 2016). In 2006, he received the award for best book in the study of theatre for The Kingdom of Eugena (2005).