Object-oriented programming languages feature static and dynamic overloading: Multiple methods share the same name but provide different implementations. Dynamic overloading (also known as dynamic dispatch) is resolved at run time based on the type of the receiver object. In this paper, we focus on static overloading, which is resolved at compile time based on the types of the method arguments. The challenge this paper addresses is to incrementalize static overload resolution in IDEs. IDEs resolve overloaded methods for the developer to help them discern which implementation a method call refers to. However, as the code changes, the IDE has to reconsider previously resolved method calls when they are affected by the code change. This paper clarifies when a method call is affected by a code change and how to re-resolve method calls with minimal computational effort. To this end, we explore and compare two approaches to incremental type checking: co-contextual type checking and IncA.