SURPRISE, Ariz. -- Injured Giants closer Brian Wilson threw soft toss without incident again Sunday in nearby Scottsdale, while his teammates closed the Cactus League portion of their spring schedule with a 7-4 loss to the Royals at Surprise Stadium.

Wilson will remain behind in Arizona. The Giants broke camp and headed back to the Bay Area where they play their annual three-game Bay Bridge Series against the A's beginning at AT&T Park on Monday night. The season opener is in Los Angeles against the rival Dodgers on Thursday at 5 p.m. PT.

Wilson injured his left oblique on March 17 against the Angels and hasn't thrown in a game since. Barring any setbacks, he's slated to toss a bullpen session Tuesday, after which the Giants will make a decision about his status. The Giants don't have to set their 25-man roster until Thursday morning.

"He played catch today and he felt fine," Bochy said. "He'll probably play a little more catch tomorrow and it'll be Tuesday as far as getting up on the mound. We'll evaluate it after that."

Wilson was the Major League leader with 48 saves as the Giants won the National League West and ultimately the World Series last season. This spring, he appeared in five games, allowing a run on three hits for a 1.80 ERA. Whether a total of five live innings will be enough work to put him on the roster for Opening Day is the pending question.

"That hasn't been determined yet," Bochy said. "We'll talk about it after he takes his bullpen and we see where he's at. The good news is he felt great throwing today. If he makes the type of progress he needs to make, once he takes his bullpen we'll have a better idea of what we're going to do."