Basham signed with the Titans on Monday, Tom Pelissero of NFL Network reports.
The Cowboys waived Basham on Tuesday, Nick Eatman of the team's official site reports.
Basham (illness) is inactive against the Giants on Thursday, Todd Archer of ESPN.com reports.
Basham (thigh) was activated off injured reserve Wednesday, Clarence E. Hill Jr. of the Fort Worth Star-Telegram reports.
Basham (thigh) was designated to return from injured reserve Thursday, Aaron Wilson of ProFootballNetwork.com reports.
The Cowboys placed Basham (thigh) on injured reserve Saturday, Todd Archer of ESPN.com reports.
Basham (thigh) will "hopefully [be] back in 1-2 weeks" from his injury, Jeremy Fowler of ESPN.com reports.
Basham is questionable to return to Sunday's game against the Buccaneers due to a thigh injury, Calvin Watkins of The Dallas Morning News reports.