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.
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Some even claimed the misleading statements he made were taken out of context. No one is above the law", Blumenthal wrote in response to Trump's tweets.
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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By her mid-fifties, she was confined to a wheelchair and said that said she felt as though a "dark cloud" had crossed her path. Her phenomenal athletic prowess made one of Australia's earliest sports superstars and inspired generations of young women.
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.
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She said she "would not have taken the risk" because her "health is very" important to her, especially since becoming a mother. But I contacted Lisa Bloom to find out what my rights are as a woman. "I would never have consented if I would have known".