In the wake of the disclosures by Edward Snowden about NSA surveillance practices, a series of public hearings was held before the Civil Liberties, Justice, and Home Affairs (LIBE) Committee of the European Parliament in 2013–2014. These hearings offer a wealth of information concerning the details of Snowden’s claims, their implications for privacy rights, and the way in which the transatlantic political dialogue on these issues is unfolding. However, they have yet to receive academic attention. This article suggests that the LIBE Hearings were an important platform that rendered the contested Snowden files into public evidence of contemporary surveillance practices. Drawing on the concept of “material publics” proposed by Noortje Marres and others, we examine how the material setting of LIBE was crucial to the ways in which the Snowden files were made public in Europe. Valid evidence was produced, legal issues were identified, technological solutions were fostered, and responsibilities were enacted and denied.