WDS logging options and locations are documented here: Microsoft KB 936625: How to enable logging in Windows Deployment Services (WDS) in Windows Server 2003, Windows Server 2008, Windows Server 2008 R2, and in Windows Server 2012
Just to confirm your setup... Let us know if any of this is incorrect: You have a DHCP relay running on 10.x.x.x (the "local network") which forwards to 132.y.y.y. The DHCP server at 132.y.y.y (running which software?) is giving out addresses on 10.x.x.x, configured with the appropriate netmask and a default gateway, plus the bootfile information which points to the Windows 2012 R2 WDS server. The WDS server is providing TFTP service on the local network. The virtual machine client connects successfully to the WDS TFTP server on the local network, and fetches the network bootstrap program (WDSNBP), but once the NBP is running it is unable to initiate TFTP to the same WDS TFTP server.
So is it correct that the DHCP server is the only part in the other facility, and all the TFTP is to a local machine with reasonably low latency? On the same 10.x.x.x subnet as the booting client? Do you have multiple 10.x.x.x subnets, or is every 10.x.x.x in your screenshot all within the one subnet?
Are you using either gPXE or iPXE when booting the physical machines?
Cheers,
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Darius