Lerman, 18 years of age, stars in fantasy flick Percy Jackson & the Olympians: The Lightning Thief, which is due out next week. Previously he's had roles in the 3:10 to Yuma remake and Gamer. (I first saw him in the TV show Jack & Bobby; he was the younger brother and quite good.) Lerman says of Spider-Man: "There has been a few discussions, it's definitely something I'm looking into." He claims to be a huge fan of the character and the series. He acknowledges that talks are in the early stages, but says: "I'd love to focus on the human element a bit more."
Columbia Pictures and Marvel Studios have said the next film in the series will focus "on a teenager grappling with both contemporary human problems and amazing super-human crises," though it's not clear if the new, high school Peter Parker will take cues from the original Spider-Man universe or perhaps display influences from Brian Michael Bendis' Ultimate version of the comic. Somehow, I don't think Logan Lerman will be the last we hear of possible Peter Parkers in the coming weeks, and possibly months, as the picture gets ready for its 2012 release.
Update: The Hollywood Reporter adds that both the studio and Lerman's reps have denied there's anything to this story, adding there are currently no ongoing discussions with Lerman for the role and that no offers have been made.