11:10pm: The Rangers are not currently pursuing De Aza, Morosi tweets.
7:17pm: The Rangers have also set their sights on Giants right fielder Hunter Pence, and Mariners designated hitter Kendrys Morales to fill a need for a right-handed bat, baseball sources tell Jeff Wilson of the Star-Telegram. Unlike Rios, Pence and Morales are only signed through the remainder of this season. It's also worth noting that while the White Sox are sure to be sellers, that's not the case with San Francisco or Seattle.
4:01pm: Jon Paul Morosi of FOX Sports tweets that the Rangers are also interested in Alejandro De Aza. The 29-year-old De Aza is hitting .275/.332/.437 with 12 homers and 11 steals. He is controlled through the 2015 season and will be arbitration-eligible for the second time this offseason after earning $2.08MM in 2013.
Since the Garza trade, reports have indicated that the Rangers are in the market to add another hitter (Todd Wills of ESPNDallas.com reporting). Rios is of particular interest to the Rangers because of their fear that Nelson Cruz could receive a suspension similar to the one Ryan Braun received on Monday. Rios would also provide GM Jon Daniels with a solution to right field in 2014, should Cruz sign elsewhere as a free agent.
Rios, 32, is batting .278/.333/.442 with 12 homers and 21 stolen bases on the season to go along with solid defense in right field. He's capable of playing center in a pinch (he hasn't played there regularly since 2011) and is earning $12.5MM in both 2013 and 2014. His contract also contains a club option for $13.5MM with a $1MM buyout. He's also drawn interest from the Red Sox and the Pirates, among other teams.