This talk proposal concerns the use of Event Structures (ESs) as a semantic model for multiparty session types (MPSTs). Based on our previous work on ES semantics for synchronous MPSTs, it aims at presenting some new initial results and discussing some open problems. In particular, it will address the issue of characterising the well-formedness conditions for global types semantically, i.e., as structural properties of the ESs obtained by interpreting global types.