The Premier League side has stated that there has been "no contact" from Europol, the European Union's criminal investigation arm, which has reportedly included the Reds' 1-0 Champions League group stage win over the Hungarian outfit in an investigation into match fixing.
Danish newspaper Ekstra Bladet claimed the 2009 fixture at Anfield is one of the matches under investigation, but stressed that no accusation has been leveled at Liverpool.
The Hungarian club says that a two-year ban handed out to goalkeeper Vukasin Poleksic in 2010 for not reporting match-fixing approaches prior to the Liverpool match confirm that the incident has been dealt with.
In a Debrecen statement first published in 2010, the club reiterated: "In the view of the UEFA Disciplinary Committee, Vukasin Poleksic failed to comply with his duties when he did not report to Debrecen that before two Champions League matches unknown people tried to persuade him to influence the result.
"The investigation revealed that Poleksic rejected the requests. Furthermore, the probe found that the matches were not influenced by anything connected with the bribery.
"But the player committed an error by failing to inform the authorities immediately, therefore he was punished for not meeting the reporting requirement."
Meanwhile, a spokesperson for the Anfield club confirmed to Goal.com that neither Europol nor UEFA have yet made contact with the club regarding the matter.