The Twins and Giants have emerged as potential candidates for free agent Pudge Rodriguez.

The new possibilities, Minnesota and San Francisco, were identified by a source with a National League team in the bidding.

The Twins’ interest may depend on the health of star catcher Joe Mauer, who’s had a back issue early in camp. The Giants have Bengie Molina to catch, and he’s even penciled in as their cleanup hitter, but Pudge could get games at first base and third base in San Francisco, which is planning to employ youngsters Travis Ishikawa and Pablo Sandoval at those positions, respectively.

The Marlins play only 15 minutes from Rodriguez’s home, but they also like their young catcher, John Baker. The Astros’ catchers are struggling this spring, but they haven’t been very aggressive so far in their pursuit of Pudge, who’s played superbly for Puerto Rico in the World Baseball Classic, hitting .545 with two home runs.

The Twins make sense because Mauer’s health is a concern. But the Giants’ interest in Pudge for anything more than a backup catcher would be asinine. He’s never played third base and has limited experience at first. He obviously can still hit (he went 4 for 4 with two dingers the other night while playing for Puerto Rico in the WBC), but it doesn’t make any sense for the Giants to sign another crusty old vet to take at bats away from Pablo Sandoval, Travis Ishikawa and John Bowker at the corners. They already have one of those in Rich Aurillia.