Thorpe (elbow) struck out three and allowed two runs (one earned) on three hits and three walks across four innings Wednesday in a rehab start at Double-A Birmingham.
Palacios went 2-for-3 with a double, a walk, two RBI and a stolen base in Saturday's 3-2 win over the Mariners.
Mullins went 1-for-2 with a walk, a stolen base and a run scored in Saturday's 3-2 win over the Mariners.
Simpson went 2-for-4 with a stolen base and a run scored in Saturday's 3-2 win over the Mariners.
Mesa went 1-for-4 with a solo home run in Saturday's 3-2 win over the Mariners.
Baker allowed a hit in a scoreless inning to earn the save in Saturday's 3-2 win over the Mariners.
Murakami went 1-for-3 with a solo home run and a walk in Saturday's 6-3 win over the Guardians.
Taylor allowed a hit in a scoreless inning to earn the save in Saturday's 6-3 win over the Guardians. He did not strike out or walk a batter.
Kay (9-5) allowed two runs on six hits, a walk and a hit batsman while striking out four over six innings to earn the win over the Guardians on Saturday.
Williams is in the starting lineup for Saturday's matchup with Seattle.
