Two of the men who accused the Oscar-winning star during the criminal trial have also filed civil legal cases at the High Court.
One man, known only as LNP, alleges that Mr Spacey "deliberately assaulted" him on about 12 occasions between 2000 and 2005.
Another, referred to as GHI, says he met Mr Spacey through a workshop at London's Old Vic theatre and claims he "suffered psychiatric damage and financial loss" as a result of an assault in 2008.
Mr Spacey was artistic director of the Old Vic between 2004 and 2013.
The man originally sued Mr Spacey in 2022 but his case was paused when the criminal charges were brought.
The third man, Ruari Cannon, has waived his right to anonymity.
He was in Tennessee Williams' play Sweet Bird of Youth at the Old Vic in 2013, and alleges that Mr Spacey groped him at a party after the show's press night.
Mr Cannon took part in a Channel 4 documentary, Spacey Unmasked, in 2024.
Mr Spacey said the allegation was "ridiculous and it never happened".
Elizabeth-Anne Gumbel KC, representing the trio, said in written submissions that the cases should be heard in a single trial to avoid the men and Mr Spacey giving evidence more than once.
The US actor has previously admitted "bad behaviour" and "being too handsy" at times, but said he would not use the word "grope" to describe his actions.
At his criminal trial in London in 2023, he was acquitted of seven counts of sexual assault, one count of causing a person to engage in sexual activity without consent and one count of causing a person to engage in penetrative sexual activity without consent.
