Kim (elbow) allowed two earned runs on a pair of solo home runs across two innings in a rehab start for Triple-A Memphis against Nashville on Thursday. He struck out two.
Kim threw 34 pitches overall, 22 of which found the strike zone. The left-hander's troubles with the long ball aside, it appears his recovering elbow held up well under a solid workload. Kim is likely due for at least another pair of rehab outings before activation is deemed appropriate, although he could return to the big-league club before he's fully built back up to a starter's workload.