Hi,
I have just managed to start ESXi 3.5 update 4 on Intel Mainboard DG45ID - Intel NIC 82567LF.
Initially, the problems described above observed.
What I did:
1) made ESXi bootable from USB Flash as described here;
Under Ubuntu:
2) mounted this usb flash drive;
3) downloaded oem_8086_10f5.tgz.tar for Intel 82567LM Ethernet adapter (8086:10f5) from here;
4) unpacked it;
6) and replaced entries for 8086:10f5 to 8086:10cd (82567LF) in simple.map and pci.id;
5) followed instructions from here to pack all modified stuff and replaced original oem.tgz by new one on Hypervisor1 partition of USB Flash drirve;
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6) Booted ESXi from prepared USB flash drive on DG45ID - Intel NIC 82567LF machine without any problems. Got access to ESXi server from Infrastructure client via network.