Advisers to President Trump have discussed the possibility of giving Mayor Eric Adams of New York City a position in the administration as a way to clear the field in November’s mayoral election and damage the chances of the Democratic front-runner, Zohran Mamdani, according to three people with knowledge of the discussions.

The talks have also involved finding a possible place in the administration for the Republican candidate, Curtis Sliwa.

The goal, the people said, would be to give former Gov. Andrew M. Cuomo a better chance of defeating Mr. Mamdani in November’s general election.

The discussions within Mr. Trump’s orbit about making a potentially audacious intervention date back weeks — and it is unclear if they will ultimately amount to anything. But the topic has taken on added urgency in New York in recent days as an already chaotic race steams into the last stretch of the campaign season.

Overlapping conversations have been playing out among some of the city’s biggest real estate executives and among allies of Mr. Cuomo, 67, a moderate Democrat who has known Mr. Trump for more than 40 years. Mr. Cuomo is running as a third-party candidate after badly losing June’s Democratic primary to Mr. Mamdani.

Those New Yorkers have been frantically searching for any way to halt the rise of the assemblyman, a 33-year-old democratic socialist who they fear would sour the city’s business climate, and have discussed potentially offering the mayor public or private sector jobs to encourage him to drop out.