It's still unclear if and when charges will be filed, but Cooley insists a decision will be made in a timely manner.
Gibson's ex-girlfriend, Oksana Grigorieva, claims the Oscar-winning actor-director struck her during a fight last year.
Cooley says Gibson's attorneys presented information about the accusations during a meeting Tuesday. His statement didn't address Gibson's allegations that Grigorieva attempted to extort him.
The former couple has been locked in a bitter custody dispute over their infant daughter for months.
The Associated Press contributed to this report.