The Rangers are not currently pursuing Rafael Soriano and were not engaged with him at any point this winter, according to Jon Paul Morosi of FOX Sports (Twitter links). The team signed Adrian Beltre this week, so there's not enough money remaining in the team's budget for Soriano, another Scott Boras client.
There's a potential fit for Soriano in Anaheim as MLBTR's Mark Polishuk explains here. Jon Heyman of SI.com has suggested that the Yankees are likely to pursue Soriano if Andy Pettitte retires and the White Sox are eyeing the reliever, too. The Cardinals don't appear to have much interest, however.
Soriano is one of three unsigned free agents who will cost a draft pick. The Red Sox, who are in line for the Rangers' 2011 first rounder, would only get Texas' second rounder if Soriano heads to the Lone Star State, so there's reason for them to hope he signs elsewhere.