Neither player has been restricted by the injuries that shut them down last season while members of the Los Angeles Lakers, representing a significant step with training camp around the corner on Oct. 1.
Ingram and Ball were part of the trade that sent Anthony Davis from New Orleans to L.A. in June.
Ingram missed the final five weeks of last season while suffering from deep vein thrombosis in his right shoulder. Ingram had his best stretch of work that season after LeBron James came back from a hip injury, as Ingram averaged 23.0 points over the final 15 games he played, while shooting 56.5% from the field and 37.9% from deep.
Ingram had been shut down since March 4, but he mentioned at his introductory news conference in New Orleans in July that he was "pretty close" to returning to basketball workouts.
Ball injured his left ankle on Jan. 19 against the Houston Rockets and was shut down for good on March 9 by the Lakers.
In all, Ball missed the final 35 games because of the ankle sprain.