Padilla entered Sunday 1-0 with a 1.93 ERA in two starts against the Twins this year. Manager Ron Washington said Padilla would not be on a pitch count in Sunday's contest against Minnesota, where Texas will attempt to avoid being swept.
Padilla missed only one start while sidelined.
Duran is headed to the Minors after his second stint with the Rangers this season. He was recalled from Oklahoma on June 8. The graduate of Ft. Worth's Paschal High was also with the club from April 17-May 28.
"We sent him out one time, and when he came back he was better. I think when he comes back again, it will be for good, and he will know how to handle being a utility player up here," Washington said. "The guy just needs to play. He only played Double-A last year and he had 18 games in Triple-A. He needs to play, and it's gonna give him an opportunity.
"I'll keep my fingers crossed that no one gets hurt, and when he comes back, he'll be ready. It's just an opportunity for him to get at-bats on a daily basis, give him an opportunity to move around the infield and play everywhere."
Duran will play second base, third base, and shortstop in the Minors.
"I think the more baseball he starts playing, everything that we felt like he needed to improve on up here, he will improve on simply by playing," Washington said.
Duran batted .225 with three home runs and 11 RBIs with the Rangers. He is batting .275 (14-for-51) against left-handed pitching.
Will Duran be Washington's first choice from the Minors if the Rangers sustain an infield injury?
"If there was something that happened on the infield and we didn't need a direct position player," Washington said. "If we needed an extra infielder and the guy wasn't going to be playing, it would be Duran. If we needed a third baseman, somebody to be at third all the time, and [Travis] Metcalf was healthy and ready to go, then we would have to make a decision."