President Donald Trump’s lawyers are seeking to determine whether special counsel Robert Mueller has an “open mind” about the Russia investigation, as they negotiate the terms of a possible interview with the president.

The legal team—which last week added former New York City Mayor Rudy Giuliani, a longtime Trump ally, and Florida attorneys Jane and Marty Raskin—met with Mr. Trump this week in Washington to discuss the strategy for negotiations with Mr. Mueller going forward, according to people familiar with the discussion.

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