TUESDAY: While the Dodgers did make Oswalt an offer, it came a while ago and the sides were far apart, Jon Heyman of CBSSports.com tweets. The Rangers are seen as the favorite to land the right-hander.
Yesterday, it was reported that the Dodgers inquired on the veteran at one point but didn't appear to be involved any longer. The Brewers also checked in on Oswalt but didn't feel that his salary could fit into their budget. A major league source told Nick Cafardo of the Boston Globe that Oswalt's preferred destinations are Texas and St. Louis, just as they were during the offseason.