Conall’s teaching and research interests lie broadly within the fields of constitutional and international law. His work has a particular focus on human rights and judicial studies, often analysing the intersection between the two. 

Conall's research relates to the way in which rights are communicated, debated, and interpreted. His work has predominantly focused on where rights apply and he has published widely on the extraterritorial application of human rights law; the application of human rights during conflict and the extension of obligations to nationals in distress abroad. His work has also engaged with state representations, arguments and diplomacy concerning human rights.

More recently, his work has focused on issues relating to judicial interpretation and communication. In this respect he has written on both judicial discretion and the impulses at play in judicial decision-making. Alongside Dr Hélène Tyrrell, he is currently working on a project focusing on extra-judicial communication.