Norway's goal-laden win over rivals Italy set up a semi-final tie against Sweden at Euro 2005.
A Lise Klaveness strike put Norway ahead only for Melania Ganniadini to equalise with a near-post effort.
Marit Christensen, Solveig Gulbrandsen and Dagny Mellgren put Norway 4-1 up before Ganniadini pulled one back.
A curling Klaveness shot was matched in quality by a rasping Elisa Camporese, but Norway won and went through to the last four after France lost to Germany.
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Norway: Bente Nordby, Stangeland, Folstad, Stensland, Christensen, Ronning, Gulbrandsen, Herlovsen, Mellgren, Paulsen, Klaveness.
Subs Not Used: Siri Nordby, Lehn, Kaufmann, Hjelmseth, Nilsen, Heimlund, Bjerke, Knutsen, Frantzen.
Goals: Klaveness 7, Christensen 29, Gulbrandsen 35, Mellgren 44, Klaveness 57.
Italy: Brunozzi, Domenichetti (Boni 53), Zorri, Tona, Panico, Camporese, Pasqui (Schiavi 90), Lanzieri, Ficarelli, Ganniadini, Conti.
Subs Not Used: Di Filippo, Perelli, Delana, Cupido, Marchitelli.
Booked: Conti, Camporese.
Goals: Ganniadini 8, 53, Camporese 67.
Ref: Dagmar Damkova (Czech Republic).