Dolphins coach Adam Gase said Monday that team is aware of the investigation.
A decision on possible charges is not expected this week.
The incident apparently occurred earlier this year in Fort Lauderdale, between Landry and his girlfriend.
In a statement released through her publicist on Monday, Estrella Cerqueira said she and Landry had a "vocal disagreement" in March that never turned physical.
England begin hunt for victory with three wickets
When Moeen Ali walked to the crease at 134-6, England's lead was 270 and the Proteas were sniffing an unlikely win and a 2-2 draw. After establishing a healthy first-innings lead of 136, England lost three wickets either side of lunch.
Landry also has an open paternity court case with Cerqueira, which her attorney describes as "very civil", according to Slater.
Cerqueira said that she did not call police, but that someone else did.
Dolphins owner Steve Ross has discussed placing the franchise tag on Landry after this season, which would commit $16 million to Miami's slot receiver and prevent him from becoming an unrestricted free agent.
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Netflix is delving deeper into the comic book world with its first acquisition, comic book publisher Millarworld . Millar now runs Millarworld with his wife, Lucy Millar .
He has 288 career receptions for 3,051 yards for the Dolphins.
Whatever "steps" Gase and the Dolphins have taken didn't preclude Landry's taking the field for practice on Monday.
Entering his fourth year as a pro after being selected in the second round out of LSU in 2014, Landry has been one of the most prolific receivers in the league since then.
Yuki Bhambri's dream run at ATP Citi Open comes to an end
On the men's side, eighth-seeded American Jack Sock defeated third-seeded Canadian Milos Raonic 7-5, 6-4 to reach the semifinals. Tommy Paul , a 20-year-old American, had three match points in the second set of his match against his Japanese opponent.