Exhibit 99.1

       Possis Medical, Inc., to Present at the UBS Global Life
                         Sciences Conference


    MINNEAPOLIS--(BUSINESS WIRE)--Sept. 25, 2006--Possis Medical, Inc.
(NASDAQ:POSS), today announced that it is participating in the UBS
Global Life Sciences Conference at The Grand Hyatt Hotel in New York
on Wednesday, September 27, 2006. Jules Fisher, vice president of
finance and CFO, and John Riles, director of global marketing and new
business development, are scheduled to present a company overview and
discuss Possis' pioneering medical technologies to conference
attendees at 7:30 a.m. ET.

    A live Webcast of the presentation will be available at 7:30 a.m.
ET on Wednesday, September 27, at www.possis.com under the "Investors"
tab. A replay will be available beginning approximately three hours
after the live presentation at the same address until October 28,
2006.

    Possis Medical Inc. develops, manufactures and markets pioneering
medical devices for the large and growing cardiovascular and vascular
treatment markets. The AngioJet(R) Rheolytic(TM) Thrombectomy System
is marketed in the United States for blood clot removal from coronary
arteries and coronary bypass grafts, leg arteries and AV dialysis
access grafts.


    CONTACT: Possis Medical, Inc., Minneapolis
             Jules L. Fisher, 763-450-8011
             Jules.Fisher@possis.com