Left-hander Brad Mills started what could be a short stay with the Texas Rangers.

The Rangers hope to stash Mills in the rotation at Triple-A Round Rock as a depth pitcher who is familiar with the majors. He has made 10 career major league starts with Toronto and the Los Angeles Angels.

To do that, the Rangers must first get Mills through outright waivers. Nine AL teams passed on Mills when the Angels put him on waivers during the weekend.

Mills admitted the process is puzzling.

“All I know is this means somebody wanted me,” Mills said. “That’s better than no one wanting you.”

Briefly: With free-agent right-hander Kyle Lohse going to Milwaukee, the Rangers will have picks No. 23 and 30 in the June draft. The 30th choice is their compensation for making a qualifying offer to outfielder Josh Hamilton, who signed with the Los Angeles Angels.

According to major league officials, Cincinnati will soon have on the market the loser in its utility-infielder competition between Cesar Izturis and Jason Donald. Izturis started against the Rangers on Sunday and played well in the field. The Rangers have no interest in infielder Yuniesky Betancourt, released by Philadelphia. Leury Garcia is the leading in-house candidate for the role.

Closer Joe Nathan, pitching on consecutive days for the first time, struck out the side on 13 pitches in a game against Kansas City’s Triple-A club.