Eidissen is the owner and managing director of the consulting and investment company Picasso AS. Eidissen started his entrepreneurial career when he started the company in 2005, which he has gradually built up to become one of the largest private investment companies in Northern Norway. He has experience as a board member from both private as well as public limited companies. Eidissen has a good track record in creating shareholder value, e.g. as chairman of the oil-and oil service company, Altinex ASA, listed at the Oslo Stock Exchange. Altinex ASA was later acquired by Norwegian Energy Company ASA (Noreco). Eidissen is through Picasso Kapital AS, the largest shareholder in Lytix Biopharma AS.