The federal criminal case against Jeffrey Epstein ended with his death two months ago, but the legal battles by his estate are poised to go on for months to come.

Last week, lawyers for Mr. Epstein’s estate asked a judge in the Virgin Islands to allow the payment of $90,000 in fees to a New York law firm that is defending it against a half-dozen lawsuits filed by some of the financier’s alleged victims. The week before, it sent lawyers from another firm to court against the State of New Mexico over public grazing rights for livestock at Zorro Ranch, the nearly 10,000-acre property Mr. Epstein owned outside Santa Fe.

Legal maneuvering is not unusual when wealthy estates are involved — Mr. Epstein’s assets were estimated at more than $577 million — but the complicated court actions may have only just begun. Lawyers for some accusers have named dozens of companies Mr. Epstein was associated with as defendants.

The firm defending the estate against Mr. Epstein’s accusers, Troutman Sanders, billed for one conversation on Aug. 10, after Mr. Epstein was found dead in a Manhattan jail cell while he awaited trial on sex-trafficking charges. The month’s worth of legal fees also includes work for a continuing “federal regulatory matter” that began before Mr. Epstein’s death, although the filing did not offer details.