The end could be in sight for the City Council’s redistricting saga.

Councillors on May 24 voted, 10-2, to approve a map that redraws the boundaries of the nine district seats. US Judge Patti Saris threw out the map they passed last fall and ordered councillors to come up with a new one, ruling that a federal lawsuit that claimed they wrongly allowed race to predominate discussions had a chance at succeeding in court.

The attorney for the plaintiffs, a group that includes former Dorchester councillor Maureen Feeney and Councillor At-Large Michael Flaherty’s aunt, said the lawyers on both sides are going to get together to come up with a resolution.

“I think we’re going to do the best we can to resolve it,” said the attorney, Glen Hannington, after a virtual meeting with the judge and the city’s lawyers last week.

During the meeting, Saris said she didn’t watch every minute of councillors’ efforts in May to redraw the map, but her impression was it “wasn’t like last time,” in a reference to last fall’s scramble that led to a blocked map. The May effort on a new map was led by Councillor at-Large Ruthzee Louijeune.

“There’s too much going on in the city,” Saris told the attorneys. “They have elections going on. It’s important to bring some closure to this and rebuild some trust, and just move forward in the democratic process.”

The preliminary is slated for Tuesday, Sept. 12, but since Boston has vote-by-mail, ballots must be printed by August before they go into voters’ hands.

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