The Brazil international is off contract at the end of this season and has announced he will be leaving over the summer.
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The Sun says Inter Miami are in contact and Casemiro has already visited Florida to consider potential homes.
Casemiro, who turns 34 next week, was seen in Miami with wife Anna this week.
Sao Paulo are also keen and are drawing up a two-year contract - with a 12 month option - for the veteran.