Selena was shot and killed on March 31, 1995, at a Corpus Christi motel. Prosecutors say Selena had confronted Saldivar about embezzlement allegations.
A jury in Houston, where the trial was moved due to extensive publicity about the case, convicted Saldivar of murder.
Saldivar in June 2009 lost an appeal before the court in Austin because it was filed in the wrong county.
Selena was immortalized in a movie starring Jennifer Lopez.