San Leandro police shot and critically wounded a woman who rammed a stolen car into several police cars in East Oakland,, the second shooting involving San Leandro officers — and a stolen car — in three days, authorities said.

The woman was in grave condition at a local hospital. Her name was not released.

The latest incident began when two San Leandro officers in separate marked police vehicles were heading to a call for service neare Halcyon Drive and Dillo Street 7:55 p.m. Sunday, said Officer Johnna Watson, an Oakland police spokeswoman.

One of the officers spotted a vehicle that had been reported stolen, and the two tried to pull it over, Watson said.

The driver initially stopped but then sped off, leading police on a chase during which she tried to ram one of the police cars, Watson said. The pursuit streaked into East Oakland and on the 9800 block of Springfield Street, a cul-de-sac near 98th and Bancroft avenues.

There, the suspect “deliberately rammed multiple patrol vehicles, causing officers to discharge their service weapons,” Watson said. “The suspect was subsequently struck.”

A female passenger was taken to a hospital to be examined as a precaution before being released. She was being interviewed by investigators.

An officer was hurt in the incident and was treated and released.

Oakland police responded to the scene to assist and are investigating the shooting along with the Alameda County district attorney’s officer.

It is the second shooting involving San Leandro police within several days.

On Thursday, a 16-year-old Oakland girl in a stolen Nissan Maxima ran over a San Leandro police officer on the 600 block of Broadmoor Avenue, prompting the officer to open fire, police said.

The girl suffered minor injuries, fled the scene but surrendered to police hours later. A 19-year-old Oakland man who had jumped out of the stolen car before the police shooting was taken into custody.

The officer in that incident, an 18-year department veteran, was taken to a hospital with leg injuries, underwent surgery and was expected to recover, said police Lt. Robert McManus said. His name has not been released.

Police will hold a neighborhood meeting to discuss the incident on Broadmoor. The meeting will be at 5:30 p.m. Thursday at the San Leandro Community Center at 13909 East 14th St.

Henry K. Lee is a San Francisco Chronicle staff writer. E-mail: hlee@sfchronicle.com Twitter: @henryklee



