I dug a bit the installation script lite-installer.sh and found that there are following steps performed during installation:
I seems that in my case the installation stops after InstallGrub
finished. So, something wrong can be with NetworkSetup, TargetCleanup or UnmountPartitions. I boot from Kubuntu 7.04 CD and checked network interfaces. They were ok. After that I installed Kubuntu 7.04 on my core. Rebooted and check network interfaces and filesystem. After that I installed LMCE 0710 Beta 3 ADM64 without splash and quite parameters. Finally it was installed ok.
Strange problem and strange solution to fix it. I suspect that something wrong was with hard drive or its controller. But in any case, now it's ok.