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Over three seasons with the Cubs, Assad is 11-8 with a 3.05 ERA in 57 appearances (34 starts).
Nittoli, 33, had been outrighted by the Oakland Athletics and elected for free agency over an assignment to Triple-A Las Vegas.
He made seven relief appearances with the A’s this season. He is 0-1 with a 3.07 ERA in 13 career relief appearances over four seasons with four different clubs.