9:09 AM PT -- 8/13 -- TMZ Sports has obtained video of the aftermath of the break-in ... with cops fingerprinting the Nissan to try to get a lead on the thieves.
You can see in the video, the rear-passenger side window is smashed in ... with glass shards still hanging from the door frame.
5:57 PM PT -- The San Francisco Police Department tells us the stolen items include jewelry, a laptop, a camera and electronic equipment ... and the SFPD Burglary Unit is handling the investigation.
5:29 PM PT -- A rep for A-Rod tells TMZ ... “The financial value of the items stolen from Alex Rodriguez’s vehicle while he was having dinner is being grossly exaggerated."
One source with direct knowledge of the case tells us the value of the stolen items is nowhere near $500k ... and we're told that figure is not even close to what the items are really worth.
A-Rod just broke his silence too ... saying, “I am saddened that several items that were of a personal nature and irreplaceable with sentimental value were taken. I am encouraged that local law enforcement has security footage of the crime and are doing all they can to get the items back."
Alex Rodriguez had HALF A MILLION DOLLARS worth of stuff stolen from his rental car while he was in San Francisco broadcasting a Giants-Phillies game ... TMZ Sports has confirmed.
Law enforcement sources tell us the MLB legend -- who was in town for his ESPN gig as a baseball color commentator -- had his rented SUV broken into just a few blocks from Oracle Park on Sunday.
We're told the burglary happened around 10 PM ... and the thieves made off with $500,000 worth of electronics and jewelry.
Rodriguez had been at the stadium nearly the entire day ... he and his ESPN crew called the Giants' 9-6 win over Philadelphia on "Sunday Night Baseball."
Law enforcement sources tell us they've made the case a high priority ... with investigators working overnight to collect evidence.
We've reached out to Rodriguez for comment ... but so far, no word back yet.