Exhibit 99.1

              Shareholder Lawsuit Dismissal Appealed

    MINNEAPOLIS--(BUSINESS WIRE)--March 6, 2007--Possis Medical, Inc.
(NASDAQ:POSS), a developer, manufacturer and distributor of pioneering
medical devices used in endovascular procedures, today announced that
the dismissal of the lawsuit entitled "In re Possis Securities
Litigation" against Possis Medical has been appealed.

    Plaintiffs in the securities litigation entitled "In re Possis
Securities Litigation", which was dismissed with prejudice by the
United States District Court for the District of Minnesota in early
February, filed on March 3, 2007, a notice of appeal of the trial
court's decision with the United States Court of Appeals for the Eight
Circuit. Possis believes the trial court acted properly and intends to
contest the appeal vigorously.

    About Possis Medical, Inc.

    Possis Medical, Inc., develops, manufactures and markets
pioneering medical devices for the large and growing cardiovascular
and vascular treatment markets. The Company's AngioJet(R) System is
the world's leading mechanical thrombectomy system with FDA approval
to remove large and small thrombus from coronary arteries, coronary
bypass grafts, peripheral arteries and veins, A-V grafts and native
fistulas.

    CONTACT: Possis Medical, Inc.
             Jules L. Fisher, 763-450-8011
             Vice President, Finance and Chief Financial Officer
             Jules.Fisher@possis.com