He told the Web site of the Bild newspaper in Germany that the story was a media invention.
According to a report in Bild newspaper, Baumann, whose contract expires this summer, is contemplating retiring at the age of 33.
"27 countries, 23 languages, 67 years of peace: we may all be a little bit proud of that, " says the best-selling Bild newspaper on its front page.
BBC: EU's Nobel Peace Prize: Europe's press has mixed response
On Saturday, a prominent member of Germany's governing CDU party, Hartwig Fischer, told Bild newspaper that products tainted with horsemeat should be distributed to the poor.
In an interview with Bild newspaper in Germany, Foreign Minister Guido Westerwelle said a decision had yet to be taken in Berlin on a government boycott of matches in Ukraine.
The BBC's Berlin correspondent, Stephen Evans, says that the allegation facing Mr Wulff is that by trying to bully Bild newspaper he was trying to tamper with the freedom of the press.
German Finance Minister Wolfgang Schaeuble repeated this view Sunday, in an interview to newspaper Bild am Sonntag.
The mass-circulation daily newspaper Bild (Picture) is serialising extracts of his book.
German newspaper Bild reported that Schumacher, who turns 41 in January, had already agreed a deal, thought to be worth 7m euros, with Mercedes in principle.
An interior ministry document stated that errant debris could land on parts of Germany and neighbor countries in southwestern Europe, according to the German newspaper Bild.
The popular German newspaper Bild said the news was a bitter blow to the chancellor, and wondered whether she would need to find a new education minister at the start of her election campaign.
And on Friday, former F1 driver Ralf Schumacher told German newspaper Bild that he had been in talks with the team about an F1 comeback, saying Stefanovich made "a very serious and purposeful impression".
BBC: Adrian Campos 'working hard' to secure F1 team's future
The German newspaper Bild am Sonntag has quoted officials from Russia's Culture Ministry as saying that they were ready to loan Priam's Treasure to Germany for exhibition, but only on the condition that it is returned.
The resignations were announced hours after a German newspaper, Bild, published a report alleging key information over the incident had been withheld.
Germany's largest daily newspaper, BILD, has called the situation surrounding Berlin's new signature airport a "disgrace for Germany, " and quoted several international reports on the problems with the construction process.
Axel Springer, publisher of Bild, is reinvesting German newspaper profits in online classified-ad services.
ECONOMIST: By moving slowly, the German media market stays ahead
Shortly after Mr Blair visited Germany, Bild, a popular daily newspaper (broadly Germany's answer to the New York Post or the Sun), published a paean of praise to the low taxes and low unemployment of modern Britain.
These liberals blanch at the thought of Murdoch somehow getting hold of Bild Zeitung, Germany's popular tabloid newspaper, and turning into a Teutonic version of the New York Post.
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