Police say the threats were left on the voice mail of an individual involved in the meeting.
Dale Galbraith, president of the Tory constituency association in Calgary McCall, has said he received threats on his phone after candidate Muhammed Rasheed outlasted eight others last Saturday.
Galbraith said the messages indicated that someone was going to kill him and alleged that there was vote rigging.
Police say the motivation behind the threats has not been confirmed.
Baljinder Singh Kooner, 38, of Calgary has been charged with uttering threats and has been released on a promise to appear.