Attempting to run vmware-modconfig resulted in a segfault, and attempting to compile the modules manually (as suggested in one of the vmware community forums) resulted in compile time errors:

#> make
Using 2.6.x kernel build system.
make -C /lib/modules/2.6.27.5-101.fc10.x86_64/build/include/.. SUBDIRS=$PWD SRCROOT=$PWD/. modules
make[1]: Entering directory `/usr/src/kernels/2.6.27.5-101.fc10.x86_64′
CC [M]  /root/vmware-modules/vmmon-only/common/vmciContext.o
In file included from /root/vmware-modules/vmmon-only/common/vmciContext.c:23:
/root/vmware-modules/vmmon-only/common/vmciSharedMem.h:28: error: expected declaration specifiers or ‘…’ before ‘VMCISharedMemInfo’
make[2]: *** [/root/vmware-modules/vmmon-only/common/vmciContext.o] Error 1
make[1]: *** [_module_/root/vmware-modules/vmmon-only] Error 2
make[1]: Leaving directory `/usr/src/kernels/2.6.27.5-101.fc10.x86_64′
make: *** [vmmon.ko] Error 2

After much digging, the end solution turned out to be VERY simple:

mv /usr/lib/vmware/modules/binary /usr/lib/vmware/modules/binary.old

vmware-modconfig –console –install-all

The modules happily built and all was well with the world.