I haven't seen the original, but it sounds like Kore-eda's bread and butter. Gonna have to track it down.
According to Deadline, DreamWorks is negotiating the rights to a "Like Father, Like Son" remake with Fuji TV. Written and directed by Koreeda ("After Life," "Nobody Knows"), the original film follows an ambitious Japanese family who discovers that there was a mix-up at the hospital all those years ago and their 6 year-old is not their biological son. They track down the other boy and a touching drama ensues about nature vs. nurture, parenting and identity. If/when Dreamworks and Fuji TV strike a deal, Spielberg would be donning just the producer's cap, not looking to direct the film himself.