The super-injunction revealed that the married star had cheated on his wife with former Big Brother housemate Imogen Thomas.
Bloomberg reports that the suit, from a party referred to only as CTB, was filed at the High Court in London.
The San Francisco-based company has been named as defendant, while the confidential court documents for the case - numbered HQ11X01814 - also refer to "persons unknown responsible for the publication of information on the Twitter accounts".
The player was identified as CTB in court documents from May 16, during which Mr Justice Eady decided that he had "reasonable expectation of privacy" and declined a joint application by Thomas and The Sun newspaper to remove the order.
Earlier this month, a Twitter account attracted over 117,000 followers when it claimed to reveal a number of celebrities who had sought gagging orders.
Meanwhile, Welsh model Thomas has denied sugesstions that she blackmailed her former lover, whom she claims to have had an affair with for six months.
Both Twitter and a spokesperson for the law firm representing CTB did not respond to Bloomberg's requests for comment.