hot on (one's) trail
In close pursuit of one who is running away or trying to avoid capture. We flew through the town in the stolen car, with the cops hot on our trail. The story opens with a team of international hackers making their way to Brussels, with Interpol hot on their trail.
hot on somebody’s/something’s ˈtracks/ˈtrail
(informal) close to catching or finding the person or thing that you have been chasing or searching for: The burglar ran away, with the police hot on his trail.