Bridgeport police have issued an arrest warrant for 30-year-old Douglas Jose Centeno-Vargas, claiming he is the man who killed 24-year-old Eveling-IIena Rayo-Mairena back on October 21st.

Police had responded around 9:30pm that evening, finding Rayo-Mairena in the road on the 200-block of Black Rock Avenue with gun shot wounds to her head and neck and her young daughter abandoned on the porch of her home.

"This suspect shot this mother in the presence of that child," said Detective Jeffrey Holtz, of the Bridgeport Police Department.

Holtz says BPD was able to identify Centeno-Vargas as a suspect within about 12 hours, mainly with the help of surveillance footage.

In it, he says Centeno-Vargas is seen pulling up the to the home, and taking out the car seat with the child in it, which he left on the porch.

"There was blood on the car seat," Holtz said.

After that, he says the video shows Centeno-Vargas get back into the car and drive around the block, before stopping again in front of the house, and dragging Rayo-Mairena back into the street.

While police do not know exactly when, or where the shooting happened, Holtz tells News 12 that police were able to obtain other pieces of physical evidence that, with the help of DNA testing, point to Centeno-Vargas as the one who pulled the trigger.

"We are extremely sure, we are positive we have the right suspect," Holtz said.

Both Rayo-Mairena and Centeno-Vargas were originally from Nicaragua, and Holtz says Centeno-Vargas was not here legally.

While he does not believe they were in a romantic relationship, "we know they were friends, we believe from the time they came to the United States," Holtz said. "We know that they were together for hours on the day of the homicide, with the victim's daughter."

Police say they are still trying to figure out a motive, speculating that Centeno-Vargas was pushing for a romantic relationship, and was denied by Rayo-Mairena.

Neighbors tell News 12 off camera that they believe her daughter's father lived with her, and while she mostly kept to herself, was often seen and heard playing with her family in the backyard and on the front porch in the few months she lived in the home before her death.

Holtz says at the moment, police have no way of questioning Centeno-Vargas. Just a few hours after Rayo-Mairena was killed, they say he boarded a 3:30 a.m. flight going first to El Salvador and then back to Nicaragua.

Right now, police say they are looking into if he might have had help getting away, believing somebody may have driven him to JFK, and also possibly purchased the ticket ahead of time.

The United States does not have an extradition treaty with Nicaragua, so Holtz says BPD is working with the Federal Government to get Centeno-Vargas back to Bridgeport.

"Eventually, we will make that happen," he said.

Police say that Rayo-Mairena's daughter is now healthy and has been living with her father.