Astros general manager Ed Wade said Wednesday the club has reached out to dozens of free agents as part of its preparations for next week's Winter Meetings in Indianapolis.
"We've made contact with agents for about every player out there as a matter of course," Wade said. "I would not read anymore into it than that. If there's an opportunity for us to do something from a pitching standpoint, it behooves us to make contact. That's all that's taken place."
Craig Landis, the agent for both Myers and Putz, didn't immediately return an e-mail seeking comment.
The Astros could lose closer Jose Valverde and setup man LaTroy Hawkins to free agency, leaving two big holes in the back of the bullpen. They offered arbitration to Valverde, who made $8 million last season, but didn't offer it to Hawkins, who received a contract offer from the Astros weeks ago.
Myers, 29, went 4-3 with a 4.84 ERA in 18 games (10 starts) last season for the Phillies and missed more than three months after undergoing hip surgery. He's 73-63 in eight seasons in Philadelphia as both a starter and a reliever, saving 21 games in 2007.
Myers made about $12 million last season in the final year of a three-year, $25.75 million deal he signed prior to the 2007 season.
Putz, 32, went 1-4 with two saves in just 29 games for the Mets last year before undergoing season-ending elbow surgery in June. He spent the previous six seasons in Seattle and saved 101 games, including 40 in his All-Star year of 2007. He made about $6 million last season.
Brian McTaggart is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.