Mayorga accused Cristiano Ronaldo of raping her in Las Vegas in 2009, the summer the superstar moved from Manchester United to Real Madrid.
It declares documents cited in media reports about the athlete's encounter in 2009 were altered before being "irresponsibly published".
Kathryn Mayorga filed a lawsuit late last month in Nevada saying she was raped by Ronaldo in Las Vegas in 2009. The lawsuit seeks to void that $375,000 settlement, which included a non-disclosure agreement.
The weekly magazine is standing by its claims, saying it has "hundreds of documents" that substantiate its report and there is no reason to believe they are not authentic.
Anything that proves that documents were altered, fabricated or inaccurate also "should be immediately turned over to the appropriate law enforcement agencies", attorneys Leslie Stovall and Larissa Drohobyczer said in a statement emailed to media in the USA and overseas.
In its story from two weeks ago, DER SPIEGEL quotes from documents in which Ronaldo's team - before negotiating the Settlement - asked the player about his version of the incident in Las Vegas.
Las Vegas police also reopened a criminal sexual assault investigation at Stovall's request.
"To absolve any doubt, Mr. Ronaldo has always maintained, as he does today, that what occurred in 2009 in Las Vegas was consensual in nature", the statement added.
On Thursday evening lawyers representing Ronaldo's accuser called for any relevant documents in his possession to be "immediately turned over" to themselves and to "appropriate law enforcement agencies to expedite the investigation and resolution of the alleged discrepancies in the "Football Leaks" documents". Ronaldo denies the rape accusation.
Peter Christiansen issued a statement that does not deny Ronaldo and the woman reached a non-disclosure agreement in 2010.
Mr Christiansen's statement concluded: "Mr Ronaldo will leave future discussion of any and all legal matters to his attorneys here and in Europe".
When DER SPIEGEL revealed Ronaldo's tax fraud earlier this year, his legal representatives resorted to the same strategy, stating that the journalists were only able to base their story on "unreliable" information.
What happened was simply that Cristiano Ronaldo merely followed the advice of his advisers in order to put an end to the insulting accusations made against him in order to avoid attempts, such as those now witnessed, to destroy a reputation built thanks to intense work, great athleticism and ethically impeccable behavior.