Chunn was cut by the Giants on Sunday, NFL reporter Aaron Wilson reports.

Chunn signed a reserve/future contract with the Giants on Tuesday, Dan Salomone of the Giants' official site reports.

The Cowboys have released Chunn (football) with a non-football injury designation, Michael Gehlken of The Dallas Morning News reports.

Chunn signed a reserve/future contract with the Cowboys on Monday, Michael Gehlken of The Dallas Morning News reports.

Chunn signed with the Cowboys' practice squad Monday, Michael Gehlken of The Dallas Morning News reports.

Dallas waived Chunn on Tuesday, Rob Phillips of the Cowboys' official site reports.

Chunn (ribs) didn't have an injury designation for Wednesday's practice, Calvin Watkins of The Dallas Morning News reports.

Chunn (ribs) re-signed with the Cowboys on Monday, Calvin Watkins of The Dallas Morning News reports.

Chunn won't return to Thursday's preseason game against the Bucaneers due to a rib injury, Lindsay Draper of the Dallas Cowboys reports.

Chunn carried the ball seven times for 25 yards and caught both of his targets for 23 yards and a touchdown in Saturday's preseason win over the Texans.