The Rangers tried to acquire Zack Greinke in December 2010 and lost out to the Brewers.
Less than two years later, Texas might have another chance at the right-hander.
Milwaukee will reportedly discuss trading Greinke if they can't come to terms on a long-term deal soon.
Greinke, who is eligible for free agency at the end of the season, has an 8-2 record this season with 2.81 ERA.
Rangers Could Be Players For Greinke