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Dekker, who injured his knee in August and spent the season on injured reserve, was released on $1,000 bond, police said.
Police said they responded to a complaint at 3:30 a.m. near Old Town Alexandria. When they arrived, police said, Dekker tried to flee but was apprehended.
Police did not provide details of the complaint. A hearing is scheduled for Feb. 2.
The 6-foot-5, 250-pound Dekker played three games for the Steelers in 2007. He was signed by the Steelers in 2006 as a free agent from Princeton and spent that season on the practice squad.
Pittsburgh plays Arizona in the Super Bowl on Feb. 1.