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TMZ Sports has obtained the 911 call made by the woman accusing Ezekiel Elliott of domestic violence -- in which she says the Cowboys running back had been hitting her for days.

The woman seems remarkably calm during the call -- and explains why she would like an officer to come to the scene.

The woman says she was initially going to wait until tomorrow to report the incident -- but changed her mind.

Cops arrived to the scene and spoke with Elliott -- who adamantly denied striking the woman. Several witnesses also say they did not see the NFL player attack her.