The only way for Icelandic seafood giants to grow is by continuing to consolidate operations within the country and by investing abroad, managing and founding partner of MAR Advisors Magnus Bjarnason told IntraFish.

"The seafood industry in Iceland is still fragmented," Bjarnason said. "My view is that what you call the giants in Iceland need to grow and they are, of course, competing in a global industry where scale matters."

Bjarnason was formerly the CEO of Icelandic Group, a €600 million ($705 million) seafood company with operations in over 10 countries.