Alcala (elbow) threw a bullpen session Tuesday in Twins camp, Do-Hyoung Park of MLB.com reports.
Alcala required arthroscopic debridement surgery last August on his right elbow, but he appears to be 100 percent now and could quickly return to a high-leverage relief role this season in Minnesota. The 27-year-old boasts a 3.39 ERA with 91 strikeouts in 87.2 career major-league innings.