Original: The following year, Belfour signed as a free agent with the Chicago Blackhawks (after not being picked in the draft) alternating time between them and the Saginaw Hawks of the International Hockey League.
Simplified: The following year, Belfour signed as a free agent with the Chicago Blackhawks (after not being picked in the draft) splitting his time between them and the Saginaw Hawks of the International Hockey League.