We present a framework for a parallel programming model by remote procedure calls bridging between large-scale computing resource pools managed by multiple grid-enabled job scheduling systems. With this system, the user can exploit not only each remote servers and clusters, but also computing resources provided with grid-enabled job scheduling systems located on different sites. This framework requires a Grid RFC system to decouple the computation in a remote node from the Grid RFC mechanism and uses document-based communication rather than connection-based communication. We implemented the proposed framework as an extension of the OmniRPC system, which is a Grid RFC system for parallel programming in a grid environment. We designed a general interface to adapt the OmniRPC system to various grid-enabled job scheduling systems easily and applied the proposed system to several grid-enabled job scheduling systems, including XtremWeb, CyberGRIP, Condor and Grid Engine, we show the preliminary performance of these implementations using a phylogenetic application. We found that the proposed system can achieve approximately the same performance as using OmniRPC and can handle interruptions in worker programs on remote nodes.