Left-hander Brian Burres was optioned to Triple-A Indianapolis to make room for Eveland on the 25-man roster.
Eveland, also a left-hander, started six games for the Jays this season, going 3-4 with a 6.45 ERA over 44 2/3 innings. He was designated for assignment May 24 after three straight rough outings -- in which he was the losing the pitcher -- that totaled 9 1/3 innings. He gave up 17 earned runs on 23 hits, walking 10 while striking out just five.
"I'm completely confident still," Eveland said. "Every time I take the ball, even after a couple bad starts in a row, I still have total confidence. It's part of the game. You're going to have your ups and downs. You're going to have bad starts."
The 26-year-old Eveland, who said his fastball now tops out around 89 mph, threw two innings in an extended spring training game on Thursday in Bradenton, Fla. Manager John Russell said the plan is to keep using him as a starter if all goes well.
"It sounds like they're going to give me a good opportunity to take the ball, hopefully every five days, as long as things go the way they should," Eveland said. "I threw the ball pretty well for the most part this year, minus my last three starts, so still felt good, still felt confident, so I'm ready to go."