The fixes -- made in version 126.96.36.199 -- address flaws that could lead to a variety of hacker attacks, including cross-site scripting, DNS rebinding and HTML injection, according to an Adobe bulletin.
Adobe, however, is encouraging users to upgrade to Flash Player 10, released Oct. 15 and not affected by any of the latest vulnerabilities.
In addition, Adobe on Thursday pushed out a hot fix for a bug in ColdFusion, a server and software language used to develop applications, similar to ASP.NET or PHP.
This is the second major Adobe update of the week. On Monday, the company delivered a new version of Adobe Reader and Acrobat 8 to square off a number of critical vulnerabilities that could allow an attacker to take remote control of an infected computer.