In October, the justices turned away her appeal, and attorneys asked the court to rehear her case. On Monday, the court refused.
Evidence showed Basso promised to marry Musso and had him name her beneficiary of insurance policies. Prosecutors said she led a group of six who tortured Musso at a home in Jacinto City, a Houston suburb. His body was found dumped in a ditch.
Basso doesn't yet have an execution date. Since 1982, when Texas resumed carrying out capital punishment, three women have been executed.