Liverpool owners Fenway Sports Group (FSG) reportedly turned down a world-record £2bn offer to buy the club earlier this year.
The takeover bid is understood to have come from one of the cousins of Manchester City owner Sheikh Mansour, but was swiftly rejected by Liverpool.
BBC Sport reports that no discussions are ongoing with the interested party, with FSG insisting that the club is not for sale at any price.
The £2bn approach would have obliterated the record for the most expensive football takeover, which is still held by Malcolm Glazer's £790m purchase of Manchester United in 2005.
Liverpool's current owners have previously said that they would be open to taking on a minority investor, but are not thought to be interested in selling the club despite reports of meetings with potential buyers earlier this year.
Business services group KPMG valued Liverpool at £1.42bn in May, while United were the most valuable club at £2.93bn.
