FRISCO, Tex. — Jerry Jones, the Dallas Cowboys’ owner, said Tuesday that the team was still gathering details about ’s involvement in an altercation at a Dallas bar in the latest off-field episode involving the star running back.

Elliott, who was already facing a potential suspension in the N.F.L.’s investigation of a year-old domestic violence case, was reportedly involved in a dispute Sunday night that led to a man being punched in the nose and being taken to a hospital. The Dallas police said the 30-year-old man who was punched did not know who hit him, and the report does not mention Elliott.

Jones said he did not want to speculate about a possible suspension. An N.F.L. spokesman said the league was looking into the latest episode “to understand the facts.” One of Elliott’s representatives did not return a message seeking comment.

The authorities in Columbus, Ohio, declined to prosecute Elliott, a former Ohio State star, over a domestic dispute with his former girlfriend before Elliott’s first training camp with the Cowboys last year. But the N.F.L.’s investigation continued, and the league has not cleared Elliott.