According to a police report obtained by the Kansas City Star, the incident with Hill allegedly involved a juvenile victim.
As of Friday afternoon, Hill has not been arrested or charged with any crime.
Chiefs wide receiver Tyreek Hill is under a criminal investigation, police say.More news: Disney reinstates James Gunn on Marvel's Guardians of the Galaxy Vol. 3
KCTV in Kansas City, Missouri, was among the outlets reporting on a battery investigation involving a child stemming from a call to Hill's home in Overland Park, Kansas, on Thursday.
Chiefs spokesman Ted Crews said Friday the team has been in contact with local authorities and the National Football League as it gathers more information but declined further comment.
According to Overland Park police, the case was closed three days later when prosecution was declined. Hill and Espinal have a 3-year-old son, but he is not specifically named in any reports.
FOX4-WDAF has reached out to the district attorney and the Chiefs for comment but has not heard back yet at this time.More news: Fact-checking Trump's tweets on Lisa Page testimony
In 2014 while at Oklahoma State, Hill reportedly punched and choked a pregnant Espinal. The domestic violence conviction was dismissed and expunged from his record a year ago after he completed his probation requirements.
This is a very serious allegation especially given Hill's history of domestic violence.
He was taken in the third round by the Chiefs in the 2016 NFL Draft. He pleaded guilty to domestic assault and battery in 2015, but the conviction was later dismissed and ordered expunged from his record after the completion of court-mandated probation.
Hill just completed his third season with the Chiefs, during which he amassed 1,479 receiving yards and 12 touchdowns, in addition to 151 rushing yards and a touchdown, and 20 punt returns for 213 yards and another touchdown.More news: Manchester United boss Solskjaer rejects Neville's remarks on priorities