Among the players they have talked to are free agents Damion Easley and Mark Loretta.
Easley, who recently turned 39, hit .269 with six homers and 44 RBIs in 316 at-bats for the Mets last season.
"I've talked to [Arizona GM Josh Byrnes]," Easley's agent, Paul Cohen, said. "We talked about a number of different issues and Damion was one of them. It's something that we might revisit."
Easley would be attractive because of his versatility -- he played first, second, short and third base as well as left field last year for the Mets -- and his ability to hit left-handed pitching, which would make him an effective combination with Vazquez.
Loretta, 37, hit .280 in 261 at-bats for the Astros last season, including a .330 mark against left-handers.
"I think it's very possible something could work out, but there has been no offer," Loretta's agent Bob Garber said last week. "They've let us know they are very interested."
Byrnes has spoken only in general terms about the search for infield help, saying the club was "making progress" in that area.
Aside from both hitting left-handers well, both Loretta and Easley would bring a veteran presence to the bench, which is something the D-backs did not have last year until they re-acquired Tony Clark after the All-Star break.
Steve Gilbert is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.