From Bill Brink at the Pittsburgh Post-Gazette …

Jason Grilli threw another 20-pitch simulated game and said he felt good.

“I would venture a guess that Saturday would be a real strong likely case that I would be out there,” Grilli said.

It was important for Grilli to face major league hitters rather than minor league competition. He said he does not need a rehab assignment.

Grilli has been on the disabled list since April 21 because of a left oblique strain. Mark Melancon has done an admirable job as the Pirates’ fill-in closer over the past four weeks but will presumably slide back into a setup role by early next week.