Techniques for implementing event proxies in a Functions-as-a-Service (FaaS) infrastructure are provided. In one set of embodiments, a computer system implementing an event proxy can receive an event emitted by an event source, where the computer system is part of a first computing cloud including the FaaS infrastructure, and where the event source is a software service running in a second computing cloud that is distinct from the first computing cloud. The computer system can translate the event from a first format understood by the event source to a second format understood by a function scheduler of the FaaS infrastructure, where the function scheduler is configured to schedule execution of functions on hosts of the FaaS infrastructure. The computer system can then make the translated event available to the function scheduler.