Abreu, who said his sprained left wrist was feeling better but isn't quite 100 percent, did some running and throwing prior to the D-backs' series opener Friday evening at Chase Field.
Arizona manager A.J. Hinch added that Abreu will continue to undergo exercises to test the strength and range of motion of his left hand. Abreu is likely to attempt hitting off of a tee early next week before taking full-on batting practice.
Abreu suffered the injury as a result of Toronto Blue Jays catcher Jose Molina sliding spikes-first into second base on May 23, and he was placed on the 15-day disabled list prior to the D-backs' 0-9 road trip. He is likely to go on a rehab assignment in the Minor Leagues before being activated to the Major League roster. The infielder was hitting .313 in 67 at-bats this season.