This work is devoted to the study of the problem of user-level capture and restoration of running computations in heterogeneous environments. Support for those operations has traditionally been offered through ready-made solutions for specific applications, which are difficult to tailor or adapt to different needs. We believe that a more promising approach would be to build specific solutions as needed, over a more general framework for capture and restoration. In this work, in order to explore the basic mechanisms a language should provide to support the implementation of different policies, we extend the Lua programming language with an API that allows the programmer to reify the internal structures of execution into fine-grained language values.