CodiP2P and DisCoP are two peer-to-peer (P2P) computing overlays aimed at sharing computing resources (CPU, Memory, etc.) to execute parallel applications. Their component nodes are basically PC’s and a wide range of computer servers, desktops or laptops. This paper joins these two platforms into a new one, DisCoP2P, to combine the features from both overlays. CodiP2P is highly scalable, and DisCoP has an efficient searching mechanism and the ability to classify computing resources. The new platform takes advantage of these features and uses them to offer new facilities to schedule and execute parallel applications efficiently. This is accomplished at null cost because the platform is made up of nodes that share resources for free. This research field can also be classified in desktop computing. The success of this platform depends greatly on the added overhead. This overhead is produced mainly in searching for resources and system administration. The obtained results in a preliminary prototype, although not sufficiently conclusive, demonstrate the applicability of DisCoP2P in the real world, i.e. Internet.