In a status report, lawyers for Hall noted the case received a final judgment in arbitration and they filed a proposed order for the judge, Nashville Chancellor Russell Perkins, to dismiss the case.
In mid-July, Perkins ordered Hall's lawyers to offer an update in the case, which had last seen a public filing in December 2023.
It's unclear when the arbitration process was finalised.
Details were not revealed about the arbitration outcome between the duo who made music together for more than a half century, including hits in the 1970s and '80s such as Maneater, Rich Girl, Kiss on My List and I Can't Go for That (No Can Do).
Robb Harvey, a lawyer for Hall, declined to comment. Representatives for Oates did not immediately respond to a request for comment.
In 2023 filings in the case, Hall accused Oates of blindsiding and betraying him, saying their relationship and his trust in Oates have deteriorated.
Oates replied that he was "deeply hurt" that Hall was making "inflammatory, outlandish, and inaccurate statements" about him.
The judge had paused the sale of Oates' stake in Whole Oats Enterprises LLP to Primary Wave IP Investment Management LLC. Whole Oats includes valuable Hall & Oates materials such as trademarks, personal name and likeness rights, record royalty income and website and social media assets, a court declaration says.
The dispute went public in November 2023, when Hall filed the lawsuit asking the judge to stop the sale by Oates so private arbitration could begin.
Hall gave a scathing account of their relationship in early November 2023 during arbitration, and it was made public later in the month in the lawsuit. It alleges that Oates and his team engaged in the "ultimate partnership betrayal" by pushing to sell his share while telling Hall's associates that he wanted to maintain his ownership.
In his own declaration, Oates expressed disappointment with his longtime partner's words, saying Hall's accusations that Oates went behind his back and breached their agreement aren't true.
Oates declined to go into specifics, saying he's obligated to keep details private, even if Hall didn't.
Last year, Oates told The Associated Press that he's had "no communication" with Hall and declined to discuss the legal proceedings. He did not see a Hall & Oates reunion in his future.
The Times asked Hall in February if the ship had sailed on mending the pair's relationship.
"That ship has gone to the bottom of the ocean," Hall told the news outlet. "I've had a lot of surprises in my life, disappointments, betrayals, so I'm kind of used to it."