Peralta (thigh) threw a live batting practice session Tuesday, Jeff Sanders of The San Diego Union-Tribune reports.
Peralta was cleared for mound work earlier this week, and he has now quickly progressed to facing live hitters. He remains without a firm timeline for a return from the 15-day injured list, but as a reliever, Peralta shouldn't require an extensive buildup period. The 33-year-old had put up a 4.50 ERA and 1.29 WHIP through 34 innings prior to landing on the IL in July with a left hip strain.