Bloodhounds (1996)

Charles Veasey is a cop killer who's on death row waiting for his execution. One day he escapes. Nikki, a cop, whose father Veasey killed, has decided to go after him, despite what her superiors say. Harrison Coyle, a crime author, offers his assistance to Nikki, who refuses, but Coyle, thinking that it would be good material for another book, pursues Veasey, and bumps into Nikki. Which infuriates her. Eventually, they agree to work together.