Letter from Jónína S. Lárusdóttir to Clive Maxwell, HM Treasury, 5-Oct-2008 which states:

Reference is made to the discussions you have had with the Ministry this weekend.
If needed the Icelandic Government will support the Depositors' and Investors' Guarantee
Fund in raising the necessary funds, so that the Fund would be able to meet the minimum
compensation limits in the event of a failure of Landsbanki and its UK branch.

Letter - PDF file