According to Ed Price, teams that have expressed interest in Zack Greinke have started to increase their offers. Price does not go into detail about which teams are increasing their offers at this time.
Aside from the Rangers, the Blue Jays, Braves, Yankees and Brewers have been linked to a possible trade for Greinke. While most packages would involve prospects, there is one rumor circulating that the Brewers would be willing to offer outfielder Ryan Braun to acquire Greinke - though I doubt that will come to fruition.
A move for Greinke would likely cost the Rangers either Martin Perez or Tanner Scheppers along with Jurickson Profar, Engle Beltre and other lesser prospects.
Texas will likely wait, much like the Yankees, to see what happens with Cliff Lee before making a decision on meeting the Greinke asking price.
Greinke has two years remaining on his contract and is set to make $13.5 million in each of those seasons.