Is there a rebate system for film in Norway?

YES!

In 2015 the Norwegian Government introduced a system of incentives for film productions, as a measure towards attracting international ventures. The incentive gives up to 25 percent reimbursement on expenses for international film and TV productions, fully or partially shot in Norway. This has shown to be successful with a result of several big, international film productions in Norway, such as «The Snowman», “James Bond” and «Downsizing» amongst others.

Read more about the incentive here: https://www.nfi.no/eng/grantsfunding/the-incentive-scheme

Film in Norway helped secured a refund for the British movie The Bird Catcher and the Chinese movie “Sunshine City”.