"We've got some ground to cover, but I think we should avoid an arbitration hearing," assistant general manager Thad Levine said. "Everything looks positive, but things could take an about-face with the next phone call."
Matt Vinnola, the Rangers' director of baseball operations, is heading up the negotiations with the three arbitration-eligible players.
Detwiler, who was acquired from the Nationals in December, is the only one of the three who can be a free agent after this season. Feliz and Moreland are not eligible for free agency until after 2016. Levine said the Rangers are currently focused on one-year deals for the three players.
T.R. Sullivan is a reporter for MLB.com. Read his blog, Postcards from Elysian Fields, and follow him on Twitter @Sullivan_Ranger. This story was not subject to the approval of Major League Baseball or its clubs.