I read through the other three reviews on IMDb for "Company of Killers" and I am apparently a bit happier with the film than them. While I'd say it's far from a must-see film, it is a decent time-passer.
The film begins with a guy bleeding in the park. He's discovered by a cop and brought to the hospital. Surprisingly, a few minutes later, he is able to walk off--and the police are naturally baffled. What they don't know is that this injured man is an assassin. The film then follows three main tracks--following the killer, following the organization that hired him and the police as they investigate. Can this guy be stopped in time? The biggest weakness of the movie is that the time between the discovery of Saxon in the park until something serious occurs is about 40 minutes--providing a lot of relatively dull time in between. However, the film is rather realistic in its depiction of police work and the final portion of the movie is pretty exciting. In addition, you get to see a lot of A and B-list celebrities in this one including Van Johnson, Ray Milland, Fritz Weaver, Diana Lynn* and Clu Gulager.
*Sadly, this was Lynn's final film, as she died of cancer the same year this film was released. Sadly, although about 45, she looked significantly older here and her part was rather small.