How do I enable ICMP to allow pinging of a Windows 7 Home Premium computer

I have a small network, comprising a variety of hardware, running XP Pro, Windows Home Server and Server 2003 Enterprise. I also have one laptop that is running Windows Home Premium 64-bit. It is unpingable by all of the other computers on the LAN. How can I enable ICMP on this laptop? I have not been able to find any accurate nor concise information on this subject. Any information found to date appears to have glaring gaps in the required steps or is simply incorrect. Can any one offer some help here?