Attorneys for convicted child killer Darlie Routier on Wednesday were denied a second chance to make their case for more DNA testing.
The Texas Court of Criminals Appeals, which has approved some of the requested tests, rejected the motion for rehearing on further testing without comment.
"It's not a major setback," said defense attorney Steve Cooper of Dallas.
In June, the court overturned a lower court and allowed DNA testing to determine whether there is any evidence to support Routier's contention that an intruder killed her two sons, ages 5 and 6, and attacked her in their Rowlett home on the night of June 6, 1996.
Routier was arrested 12 days after the murders. She was convicted of fatally stabbing her son Damon and sentenced to death. She was not tried in older brother Devon's murder.
The Court of Criminal Appeals, the highest court in the state for criminal cases, upheld her conviction and sentence in May 2003.