Wada had left elbow ligament replacement surgery with Dr. Lewis Yocum, and Reimold had a epidural injection in his spine to help treat the bulging disk that put him on the disabled list.
The Orioles released a statement late Friday afternoon from Wada, who will be starting rehab in Florida. The team hasn't confirmed a start date for that yet.
"The procedure went as planned, and Dr. Yocum felt good about how it went. He predicts a full recovery. I'm glad to have this over with and look forward to beginning my rehabilitation so I can get back to pitching for the Orioles as soon as possible," Wada said in the statement.
Reimold had the epidural around 9 a.m. Friday. He's eligible to come off the disabled list May 16, but manager Buck Showalter said that doesn't appear to be a good possibility.
Zach Britton continues his rehab in Sarasota. Showalter said he's throwing on the 15th and then again on the 20th or 21st, depending upon the schedule in Florida.
Showalter also said that it doesn't look like either Britton or Brian Roberts would be shifted over to the 60-day disabled list as the team hopes both players could improve.