Free-agent relief pitcher Jose Valverde could still be an option for the New York Mets, according to the New York Post's Ken Davidoff.

Citing an industry source, Davidoff reports that the "door remains 'slightly ajar' for free agent Jose Valverde to join the Mets as their closer."

Incumbent closer Frank Francisco has been shut down due to inflammation of his pitching elbow, and his available for the beginning of the season is in question. Bobby Parnell is the current in-house favorite to fill the closing role should a move not be made and Francisco miss the start of the season.

Valverde, 34, has received little interest this offseason after saving 35 games in 2012 while posting a 3.78 ERA and 1.25 WHIP for the AL champion Detroit Tigers. The year prior, Valverde was a perfect 49-for-49 in save opportunities.