Aragones' side has scored seven goals to win its opening two matches against Ukraine and Tunisia, clinching first place in its group to advance to the second round and emerging as a title favorite.
Spain, whose best placing was fourth in 1950, doesn't complete its Group H games until Friday when it faces already eliminated Saudi Arabia in Kaiserslautern.
Aragones said his team had already achieved several aims, the AP reports.
In the second round, Spain will face either South Korea, which beat the Spaniards in the 2002 quarterfinals, Switzerland or France. A win could set up a clash with defending champion Brazil in the quarterfinals, the traditional stumbling block for the Spaniards in previous tournaments.
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