They reportedly have not decided whether to divorce.
The acting couple, who have two kids, married in 1997 after meeting on "The Tonight Show." He was starring in "The X-Files" at the time, while she was on "The Naked Truth."
They renewed their vows in 2009, after separating in 2008.
That separation, which saw "Californication" star Duchovny heading off to rehab for sex addiction, sparked rumors an affair between him and his Hungarian-born tennis coach, and sexting between Leoni and -- wait for it -- Billy Bob Thornton. (Thornton quickly put the kibosh on the story involving him, and a lawsuit filed by Duchovny had the Daily Mail soon retracting its story about instructor Elsa Patay as categorically untrue. Patay denied it too.)
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