Bullard worked off to the side in Tuesday's training camp due to hamstring soreness, Calvin Watkins of The Dallas Morning News reports.
The injury doesn't seem to be a long-term concern, though Bullard's practice participation leading up to the Cowboys' preseason opener against the Seahawks on Saturday, Aug. 15 is worth monitoring. He appeared in 15 regular-season games for the Saints in 2025, and finished with 26 tackles (12 solo) and two pass defenses. Bullard projects to operate in a rotational role at defensive end behind starters Kenny Clark and Quinnen Williams.