3:32pm: Marc Topkin of the St. Petersburg Times says not to expect any interest in Rodriguez from the Rays.
Texas could be looking to bring Pudge back for depth after Jarrod Saltalamacchia left winter ball with a shoulder injury, while the Giants and Royals are looking to replace the departed Bengie Molina and Miguel Olivo, respectively. Tampa Bay, on the other hand, currently has both Kelly Shoppach and Dioner Navarro under contract, however both are prime non-tender candidates if the Rays don't like price tags.
The 38-year-old catcher hit .249/.280/.384 last year, and is a Type-B free agent. If he signs elsewhere, the Rangers will receive a supplemental first round draft pick, somewhere around 50th overall.