Bringing Food into Iceland

These pages appear to say hard no on the cheese, a maybe on the tuna.

Icelandic customs:

Travellers are not allowed to import meat and dairy products from
outside the European Economic Area to Iceland.
https://www.skatturinn.is/english/individuals/customs-matters/travelling-to-iceland/duty-free-imports/

Icelandic Food and Veterinary Authority:

Eviscerated fresh fishery products or prepared fishery products, or
processed fishery products provided that their combined quantity does
not exceed the weight limit of 20 kg or the weight of one fish,
whichever weight is the highest
https://www.mast.is/en/import-export/what-can-i-bring-with-me-to-iceland

Fyi....you can buy both in Iceland.

Thank you so much for the info!