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Closer Rankings: Chapman back and hurling fire, Shaw replaces Axford

Aroldis Chapman has already racked up five strikeouts and a save since returning from his injury.

Aroldis Chapman has already racked up five strikeouts and a save since returning from his injury.

36. Jason Grilli, Pittsburgh Pirates -- Grilli threw a two-inning simulated game on May 14, and will shortly head out on a rehab assignment before joining the Pirates. The team could, however, ease him back into the closer's role, espeically with Mark Melancon pitching so well.