Star winger David Pastrnak had 106 points last season for the Bruins, but no one else topped 50 other than Geekie, a 2017 third-round pick of the Carolina Hurricanes, who averaged 16:55 time on the ice.
The Bruins also re-signed center Marat Khunsnutdinov and defenseman Michael Callahan earlier Sunday.
The Associated Press contributed to this report.
