"We're going to be aggressive for, really, any and all players that can help us," D-backs team president/CEO Derrick Hall said when asked about re-signing Martinez. "Now, with him being officially a free agent, we can't really comment on him or any of our other guys that have turned free agent. But, obviously, he meant a lot to us this past season and we're taking a strong look."
Martinez switched agents after the season and is now represented by Scott Boras.
"He's a superstar talent," Boras told The Arizona Republic last week. "He's done things that few players have done."
An ESPN.com report said that teams that have reached out about Martinez are under the impression that Boras is seeking "something in the $200 million range."
That likely would be too much for the D-backs to spend. They have around $60 million in guaranteed contracts for next season and have 14 arbitration-eligible players who could get $52 million, according to projections by MLBTradeRumors.com.
While he declined to get into specifics, Hall did say the D-backs had some discussions with Martinez toward the end of the season.
"Some good conversations and since then, he's sought new representation, so things have changed from those initial conversations," Hall said. "But J.D. is such a great guy and we're just glad to know that he enjoyed his time here, because we enjoyed him being here, too."
Hall cautioned not to make too much of the fact that the team had early conversations with Martinez.
"We just had very good, open conversations with J.D. about his time here and about where we were and what sort of [financial] room that we either had or could create at some point," Hall said. "But I wouldn't say significant, movement-wise."
Steve Gilbert has covered the D-backs for MLB.com since 2001. Follow him on Twitter @SteveGilbertMLB. This story was not subject to the approval of Major League Baseball or its clubs.