SECURITIES EXCHANGE COMMISSION

Washington, DC 20549

Under the Securities Exchange Act of 1934
(Amendment No. 1)

FLOWSERVE CORPORATION
(Name of Issuer)

Common
(Title of Class of Securities)

Date of Event Which Requires Filing of this Statement
November 4, 2004

Check the appropriate box to designate the rule
pursuant to which this Schedule is filed

[ ] Rule 13d-1(b)
[X] Rule 13d-1(c)
[ ] Rule 13d-1(d)

34354P105
(CUSIP NUMBER)

1) Name of Reporting Person: Pioneer Global Asset Management S.p.A.

IRS Identification                      98-0362802
No. of Above

2)       Check the Appropriate Box               (a)
of A Member of  Group
(See Instructions)                      (b)

3)       SEC Use Only

4)       Citizenship of Place of
Organization                            Italy

Number of                               (5)Sole Voting
Shares                                  Power             2,791,253
by Each Reporting                       Power                   0
Person With                             (7)Sole Disposi-
tive Power        2,791,253
(8)Shared Disposi-
tive Power              0

9)       Aggregate Amount Beneficially           2,791,253
Owned by Each
Reporting Person

10)      Check if the aggregate Amount in Row (9) Exclude Certain Shares (See
Instructions)

11)      Percent of Class Represented
By Amount in Row 9.                     5.05%

12)      Type of Reporting
Person (See Instructions)               HC

Item 1(a)         Name of Issuer.

FLOWSERVE CORPORATION

Item 1(b)         Address of Issuer's Principal Executive Offices:

Mr. Mark A. Blinn, Chief Financial Officer
Flowserve Corporation
222 West Las Colinas Blvd
Suite 1500
Irving, TX  75039

Item 2(a)         Name of Person Filing:

Pioneer Global Asset Management S.p.A.

Item 2(b)         Address of Principal Business Office:

Galleria San Carlo 6,
20122 Milan, Italy

Item 2(c)         Citizenship:

Italy

Item 2(d)         Title of Class of Securities:

Common Stock

Item 2(e)         CUSIP Number:

34354P105

Item 3            The person filing this statement pursuant to Rule 13d-1(b)
or 13d-2(b) is:

(Inapplicable)

Item 4.  Ownership.

(a) Amount Beneficially Owned: 2,791,253

(b) Percent of Class: 5.05%

(c) Number of shares as to which such person has

(i) sole power to vote or to direct the vote 2,791,253

(ii) shared power to vote or to direct vote 0

(iii) sole power to dispose or to direct disposition of 2,791,253

(iv) shared power to dispose or to direct disposition 0

Item 5.  Ownership of Five Percent or Less of a Class.

If this statement is being filed to report the fact that as of the date Hereof
the reporting person has ceased to be the beneficial owner of more than five
percent of the class of securities, check here:  

Item 6. Ownership of More than Five Percent on Behalf of Another Person.

Inapplicable.

Item 7.  Identification and Classification of the Subsidiary Which Acquired
the Security Being Reported On By the Parent Holding Company.

Inapplicable.

Item 8.  Identification and Classification of Members of the Group.

Inapplicable.

Item 9.  Notice of Dissolution of the Group.

Inapplicable.

Item 10. Certification.

By signing below I certify that, to the best of my knowledge and
belief, the securities referred to above were acquired in the ordinary course of
business and were not acquired for the purpose of and do not have the effect of
changing or influencing the control of the issuer of such securities and were
not acquired in connection with or as a participant in any transactions having
such purposes or effect.

After reasonable inquiry and to the best of my knowledge and believe, I
certify that the information set forth in this statement is true, complete and
correct.

November 16, 2004
Date

/s/Dario Frigerio
Name: Dario Frigerio
Title: Chief Executive Officer