In the process, the hard-throwing right-hander has allowed four hits, a walk, a run and no strikeouts.
Some might be concerned, but don't count manager Joe Maddon among that group.
"He's gotten the job done both times," Maddon said. "He's not as sharp as he can be, I know that. But you can see it."
Maddon had no second thoughts about allowing Soriano to work on his own program during Spring Training.
"I'm getting to know him, and I'm trusting him," he said. "He's gotten through those two games. He's got a win, and he's got a save. ... My takeaway is how he managed to maintain his calm and his focus when things got going pretty quickly."