The 30-year-old Pino went 2-5 with a 5.07 ERA in 11 starts for Minnesota last season. He made his debut June 19 against the White Sox and earned his first win against Seattle on July 10.
Pino, who also has pitched for the Indians, Blue Jays and Reds organizations, spent most of last season at Triple-A Rochester. He went 10-2 with a 2.47 ERA for the Red Wings.
Coleman went 1-0 with a 5.25 ERA in 10 appearances for the Royals last season. He was 5-1 with a 2.15 ERA for their Triple-A affiliate in Omaha.