Cleary, 48, represented St. John's South-Mount Pearl since 2011, but was defeated by Liberal Seamus O'Regan during the Oct. 19 federal election.
Sources have told CBC News Cleary has been in contact with the Premier's office, and that he is interested in running for the PCs in Winsor Lake.
Cleary has spent much of this week in Ottawa, clearing out his office and pondering his future.
He admitted Wednesday that adjusting to post-election life has been difficult, and that a run in the Nov. 30 provincial general election is something he is considering.
"I've thought about all kinds of different scenarios. Running in the election. Not running in the election. Opportunities in journalism. Opportunities in writing. Opportunities in broadcast. Different types of opportunities that I didn't expect are at my door. I have not made up my mind. I don't know," he told CBC News Wednesday.
However, he would not say what district he may enter or which party he would be running for.
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