The US secret service has found a bullet from a semi-automatic rifle that broke a window at the White House , according to officials. The service has been investigating a shooting that occurred near the White House on Friday. It discovered two bullets on Tuesday, one of which had smashed a window before being stopped by anti-ballistic glass protecting the building's interior; the other round was found outside the building. Shots were fired between two vehicles on Constitution Avenue, about half a mile from the White House, shortly after 9pm on Friday. Later the same evening, secret service officials discovered an AK-47 rifle in an abandoned car. Officials could not confirm links between the bullets and the reported shooting. No one was reported injured during the incident. the president, who was headed to a summit in Hawaii, was not at home at the time of the shooting.

A US park police spokesman, Sergeant David Schlosser, said on Sunday police were still looking for a suspect, and had issued an arrest warrant for a 21-year-old man, Oscar Ramiro Ortega, in connection with the shooting, for carrying a dangerous weapon.

Schlosser said. "We want to hear from Mr Ortega. We want to hear his version as to what happened. This will help us fill in the blanks as to what actually occurred on Friday evening, and we would like to resolve this soon."

Police found a car crashed near Theodore Roosevelt bridge, west of the White House, and the Washington monument. Schlosser said investigators had found a semi-automatic weapon and shell casings inside the vehicle. "The actions that Mr Ortega participated in on Friday evening – that being the discharge of a firearm near the White House – is an inherently dangerous activity, and because of that we do want to find Mr Ortega as quickly as possible," said Schlosser. "At this point, we're not certain what his intentions were."

President Barack Obama and the first lady, Michelle Obama, were in California at the time of the shooting. They then travelled to Hawaii for the Asia-Pacific economic co-operation forum. The president is currently in Australia for a 27-hour visit.

Before the shooting, Ortega had been stopped by police in Virginia at around 11am after behaving suspiciously, said Lieutenant Joe Kantor, with Arlington county police. Police took photos of Ortega – who was not arrested – including an image showing one of his tattoos: the word Israel written on his neck. They later released the picture, asking the public for any information on the shooting incident.

Ortega has a history in three states of criminal activity, including drug charges, underage possession of alcohol and assaults on law enforcement officers, police say.