Smith gave up one run on one hit while striking out one batter over one inning to earn a save against the Angels on Monday.
Messick (10-8) earned the win over the Angels on Monday, allowing one run on three hits and one walk while striking out four batters over six innings.
Holderman (wrist) struck out three and gave up one hit in a scoreless inning during Monday's 4-2 victory over the Angels.
Urquidy (2-1) earned the loss after giving up five runs on six hits and four walks through three innings. He struck out two.
Peters went 1-for-4 with a two-run homer and a strikeout during Monday's 11-2 loss to Texas.
DeLauter has been scratched from Monday's starting lineup against the Angels due to left hamstring tightness, Tim Stebbins of MLB.com reports.
Bazzana is not in the lineup for Monday's contest versus the Angels.
Thorpe (elbow) is scheduled for a rehab start with Triple-A Charlotte on Tuesday, James Fegan of the Chicago Sun-Times reports.
Urquidy will start Monday's game against the Rangers at Rate Field, James Fegan of The Chicago Sun-Times reports.
Adell went 2-for-5 with a double and two RBI in Sunday's 7-2 win over the Rockies.
