Braves reliever Jordan Walden threw a third bullpen session Tuesday and is nearing a return from a strained left hamstring. The right-hander, who has been sidelined since May 4, threw 30 pitches in the afternoon workout. He will likely make a couple minor-league rehabilitation appearances before being activated from the disabled list.

“That was my best one right there,” said Walden, who threw two bullpen sessions when the Braves were in Miami. “Today was pretty good. The first two were nice and easy but today I did a little more.”

Manager Fredi Gonzalez watched Walden’s latest session. He said management would convene later in the day Tuesday to discuss the next course of action with the reliever.

Walden was placed on the 15-day disabled list on May 10, retroactive to May 4 when he was injured in a game against the Giants.

Walden has made 14 appearances this season with a 2.92 ERA with a save, 19 strikeouts and six walks in 12.1 innings.