Different component systems, such as CORBA, COM, and Java, have different object models and type systems. Such differences make the interoperability between components of distinct systems more difficult, and thus are an obstacle for component reuse. In this dissertation, we argue that an interpreted language with a specific set of reflexive mechanisms, together with a type system with structural compatibility, offers a composition mechanism suitable for dynamic component connection and for interoperability between different component systems. This composition mechanism performs at runtime the tasks of verifying types, connecting, adapting and implementing components, and handles components of different systems in a uniform way, allowing them to be connected transparently. The proposed composition mechanism is based on a model that favors flexibility at runtime. This composition model is composed of two major elements. The first one is an object model, defined in order to represent components of the different systems addressed in this dissertation. Thus, this object model performs the role of a unifying model, that is, a model in which objects from different systems can interact and be represented transparently. The second element of our composition model is a design pattern to implement bindings between interpreted languages and component systems. This design pattern, named Dynamic Language Binding, does not use the traditional stubs technique. Instead of this, it uses reflection and dynamic typing to implement generic proxies, which can represent any component of a specific system, and generic adapters, which allow component implementations using the composition language itself. In order to validate our proposal, we describe the LuaOrb system, which is an implementation of our composition model. LuaOrb uses the interpreted language Lua as its dynamic composition language, and integrates the systems CORBA, COM and Java.