With only a few of the top players left on the field, Norén was in a split sixth place, four strokes from leading American Michael Thompson.
38-year-old Norén started the competition with a 67-round which was followed up with 69 strokes on Friday.
Henrik Norlander also made his best round so far in Blaine, 67 strokes, but is further back in the field.
ARCHIVE: Jon Rahm new world number one after victory (July 20, 2020)
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Jon Rahm new world number one after victory - Norlander sixth Photo: Bildbyrån