High Level Architecture (HLA) and Functional Mock-up Interface (FMI) are two simulation interoperability standards. The HLA is older, well established and popular in industry. The FMI is a new standard, with plenty of support from the open source community and scientists. In this paper, it is presented how the strengths of both, the HLA and the FMI, can be utilized to realize a distributed hybrid (or heterogeneous) simulation platform. Two different algorithms are proposed for such a platform. To demonstrate the correctness of algorithms, and their performance comparison, a simulation example is chosen from the domain of complex energy systems.