The phrase "outlandish statements" refers to statements that are strange, bizarre, or unbelievable. They are often seen as unusual or far-fetched. Full definition
Obviously, the parties involved can not simply make outlandish statements while the investigations and court proceedings are still pending, leaving many to wonder what actually took place. (goodereader.com)
Anyone else in the Oval Office would not make such outlandish statements as Mr. Trump makes. (fuw.ch)
When 75 % of the site is simply jumping to conclusions and making outlandish statements as if they are facts than someone needs to be the voice of reason or the person that voices the possibility of other options. (sbnation.com)