Testimony in the trial of 43-year-old Steve Ballesteros began Thursday morning.
Ballesteros is charged with murdering his girlfriend, Maria Perez, in 2012.
The court heard testimony from two police officers that were on the scene where Perez's body was found.
Officer Olivia Boggs testified that she was outside when Steve Ballesteros drove by in Perez's car shouting, "Here I am. I killed her. Come and get me."
Boggs and another officer pursued Ballesteros for several minutes before he wrecked his car into another vehicle.
He was then taken into custody.
Ballesteros told police during his interview "I was in a right state of mind. It was all premeditated."
After killing Perez, Ballesteros told the kids, who were inside the home, not to bother their mother and that she was sleeping.
The next morning Perez's oldest son was the one to discover her body and told a maintenance worker next door that Perez wasn't breathing.
The worker then called police.
Video from Corporal Mayors police car was played to the jury. The video shows Ballesteros being held against the police car by an officer and can be heard telling the officer, "I'm not denying anything, just give me the death penalty."
We will continue to update you as we learn more.