Santiago was placed on the 10-day disabled list with a left shoulder injury, Josh Horton of MLB.com reports.
Not much else is known about Santiago's injury, so expect an update on his status when the Twins release more information. He'll be eligible to June 16 if he is ready, so it's possible he'll only be forced to miss one turn in the rotation. Chris Heston, who was recently claimed off waivers, could fill his turn in the rotation Sunday against the Giants.