The state’s child-abuse hotline got at least 17 emergency calls about NYPD cop Michael Valva’s kids in the months before he allegedly murdered his autistic, 8-year-old son — but none resulted in the children being taken from Valva and his fiancee, records obtained by The Post show.

And only five of 16 calls — which included a shocking claim that the kids were so hungry they ate out of the trash — were reviewed for more than a day, with four quickly “closed as duplicate,” according to heavily redacted documents compiled by the state Office of Children and Family Services. It was unclear whether the 17th call resulted in a longer review.

One probe stemmed from a call to the state’s 24-hour, child-abuse hotline that revealed victim Thomas Valva had a black eye on Jan. 16, 2019, almost a year to the day before he died of hypothermia from being forced to sleep overnight in an unheated Long Island garage.

Father Michael Valva, 40, and fiancee Angela Pollina, 42, were busted last month and charged with second-degree murder in the Jan. 17 slaying of Thomas, the middle of Valva’s three sons.

They’re expected to be arraigned this week on an indictment handed up by a Suffolk County grand jury.

The caller who reported Thomas’ swollen and bruised right eye said it didn’t appear injured the previous two days, according to an official narrative.

“The stories were conflicting with contradicting explanations and the time frames were off as to how Thomas sustained this black eye,” the report says.

“There is a history of physicalabuse [sic] in the home involving Thomas so his black eye is suspicious due to the contradicting explanations and conflicting time frames.”

When interviewed by a child-welfare worker, Valva claimed that Thomas “told him he got the black eye at recess,” said he was “unaware” of bruises on his older son’s arm and denied using “physical punishment” against his kids, according to the report.

But even though Valva admitted “using excessive corporal punishment in the past” and school workers were worried that his older son was losing weight, child-welfare officials deemed the abuse allegation over Thomas’ black eye unfounded and took no action, records show.

“Safety Factors exist, but do not rise to the level of immediate or impending danger of serious harm,” the report says.

“No Safety Plan/Controlling Interventions are necessary at this time. However, identified Safety Factors have been/will be addressed with the Parent(s)/Caretaker(s) and reassessed.”

Following the report about Thomas’ black eye, the Statewide Central Register of Child Abuse and Maltreatment hotline logged at least 11 more calls about Valva’s kids through May 14, when a tipster alleged that Valva “squeezed Thomas’ hand in anger” and had thrown a book bag at his head the previous day, leaving a bruise and bump on his forehead, records show.

Valva told a caseworker that the backpack had been thrown by Thomas’ older brother, who’s also autistic, the report says.

“Family is uncooperative as they feel they are being harassed by the school,” the report says.

“They do not want the children to be interviewed at the school and did not allow CW to interview other children.”

An investigation was to continue, the report says, but the outcome is unclear.

On Feb. 27, 2019, a tipster alleged that Thomas’ older brother, who’s also autistic, “has been coming to school with his clothes and backpack soaked in Urine,” leaving him foul-smelling and “extremely cold,” according to a report of the call.

The boy, now 10, “has been staying in the garage and is not allowed in his room due to him urinating in his bed” and his “feet and hands are bright red, but it unknown if this is as a result of the child being soaked in urine,” the tipster added.

The caller also alleged that Valva and Pollina “are aware that the child is arriving at school soiled and fail to adequately address the concern.”

That case was among those “closed as duplicate,” as was another, from March 18 in which a caller claimed that Valva’s kids “are frequently hungry, beg for food, and eat food out of the garbage,” the records show.

Suffolk County last week announced a probe into how its Department of Social Services handled the child-abuse allegations against Valva and Pollina, and DSS Commissioner Frances Pierre on Sunday declined to comment, citing “confidentiality mandates and the nature of this ongoing investigation.”

But a DSS source said Family Court petitions alleging child neglect were filed against Valva and Pollina in 2018 that led to one year of home supervision, orders of protection on the children’s behalf and mandated participation in a “Positive Parenting Program.”

The state OCFS declined to comment.