Missing menu display

[Peter Hillier-Brook]

Could someone please advise how I might achieve a menu display on my new 
Siemens (sorry, Fujitsu) Lifebook. grub.cfg appears to be sound and I do 
hear the GRUB_INIT_TUNE, proving that my modified /etc/default/grub is 
being used by update-grub.

Screen resolution is 1366x768, but I've set GRUB_GFXMODE to auto as I'm 
not convinced that 1366x768 would work. I should also mention that the 
system is using an EFI with which I'm not totally familiar and which I 
guess is at the root of the problem. Where might I find a handbook on 
EFI in relation to GRUB so that RTFM would have some meaning?

Thanks in advance.

Peter HB