Emerick Knowles, the attorney for South Carolina businessman G. Ben Thompson, said he entered the default judgment on Tuesday after Smith missed a deadline to respond to his suit declaring his client the rightful owner of the gated mansion known as "Horizons."
The office of the Supreme Court's registrar could not be reached despite several phone calls seeking confirmation and an attorney for Smith, who has a lawsuit pending in the same case, could not immediately be reached for comment.
The 39-year-old former Playboy playmate has claimed that Thompson bought her the nearly $1 million house as a gift. Thompson, who had a brief relationship with Smith, says it was a loan.
Knowles said he gained authority to file the judgment with the Supreme Court after a two-week deadline expired Monday, and he asked Smith in writing to vacate by Thursday. If she does not comply, they will ask court officers to remove her from the property, he said.
"It's bringing things near to an end," Knowles said.
A private pathologist concluded that Daniel Smith died from a lethal combination of methadone and two antidepressants. Official toxicology results have not been publicly released.
Bahamian police completed their investigation into his death and submitted their report six weeks ago, but authorities have not indicated whether they will convene a jury inquest.