Billy Baldwin Tones Down Feud with Sharon Stone, Talks Would-Be Book

Billy Baldwin's beef with Sharon Stone sounded fiery online -- but in person, the dude doesn't seem to wanna keep the battle going ... 'cause he's turning down the temperature.

We got the actor out in L.A. Wednesday, where our photog asked him about a number of things -- including what happened to his left eye. If you can't quite see, he's got a little nick there ... and Billy tells us exactly how it happened.

Eventually, we get to what everyone wants to know ... namely, whether his feud with Sharon -- whom he eviscerated online last week after she name-dropped him -- was alive and well.

Check it out ... Billy seems to have moved on from all that, refusing to further trash Sharon here on camera. Although, when we asked if he was still writing a book -- like he suggested he might do when he was first crapping on Sharon -- BB tells us what he'd put in it.

A would-be book wouldn't include any bad-mouthing or tea -- like he teased on X ... instead, he says it'd include all the positive things in his life, like his family and his career.

Good to see that Billy's not holding a grudge against Sharon ... 'cause like we said, he was fired up when she first invoked his name last week during a podcast interview, in which she alleged that a producer on a film they both worked on tried pushing her into banging him.