After his bullpen session, Francisco told reporters he threw 31 pitches, throwing at 80 percent effort and only fastballs and curveballs.
Francisco said there is still some soreness in his elbow, but wouldn't classify it as pain.
Francisco expects to throw two more bullpens, after which he will throw batting practice.
Francisco had surgery to remove bone chips from his elbow in December. He had been shutdown early in camp after experiencing discomfort in his elbow.
Francisco went 1-3 with a 5.53 ERA in 48 relief appearances in 2012, having allowed 26 earned runs, 47 hits, 21 walks with 47 strikeouts in 42 1/3 innings in 2012 – he was shutdown after September 16 after being diagnosed with right elbow soreness.