It's time for some Monday afternoon free agency rumors; the Kansas City Royals are apparently pursuing free agent starting pitcher Tim Hudson, reports Mark Bowman of MLB.com.

Bowman writes that the Royals and the Cleveland Indians have shown the most interest in the starting pitcher, although the Atlanta Braves have offered Hudson a one-year contract. Hudson and his agent, however, have apparently not made a counter offer and appear to be exploring other options.

Terry Francona had a "lengthy" phone conversation with Hudson, and Ned Yost will call the pitcher later in the week, according to Bowman. There's been no word on whether Yost plans to bring Hudson on a hunting trip.

Hudson has been with the Braves for the past nine years after spending the first six seasons of his career with the Oakland Athletics. Starting with stats that will be cited by the Royals if they do sign Hudson, the starter has 205 career wins with a 3.44 ERA, averaging 224 innings each season.

The starter, however, will turn 39 next July, putting him on the wrong side of the aging curve. He has remained surprisingly effective despite his age; his ERA slipped to 3.97 in 2013, but he countered that with a 3.46 FIP and 3.75 SIERA. His FIP over the past three seasons has been fairly consistent: 3.78 in 2012, 3.39 in 2011.

Hudson has posted a below-average but non-Guthrian strikeout rate since 2009 (with the exception of his 13.6 K% in 2012), but has managed to keep his walk rate below league-average. His strength has been forcing groundballs; his career GB% is 58.5%, and his 2013 came in at 55.8%.