David Duchovny has been granted an apology from British tabloid Daily Mail after it ran a story claiming the "Californication" star and his tennis instructor had an affair.

Last month, following the announcement that the 48-year-old actor and his wife of 11 years, Tea Leoni, were separating, the paper printed a story that suggested Duchovny and tennis coach Edit Pakay had an affair.

David Duchovny and Tea Leoni have sparked rumors they have reunited after they were spotted "holding hands."

The estranged married couple - who announced their separation in October, following David's trip to rehab to seek treatment for his sex addiction - took their two children, nine-year-old Madelaine and six-year-old Kyd trick-or-treating for Halloween in New York on Friday.

David Duchovny's tennis instructor Edit Parkay says she is not to blame for the breakdown of his marriage to Tea Leoni.

Edit - who was quoted in a recent interview as saying she was "not going to deny" reports she had an affair with "The X-Files" star - insists "there is no romance" between her and the 48-year-old actor.

Tea Leoni has added to rumors she is secretly dating Billy Bob Thornton. The "Ghost Town" actress - who has been separated from "The X-Files" star David Duchovny for several months - admits she got very close to the actor on set of her new film "Manure."

She said: "We have this incredible cast with Billy Bob Thornton, who is maybe my new favorite person in the world."

David Duchovny and Tea Leoni have been "separated for several months", amid claims the actress received explicit text messages from Billy Bob Thornton.

"The X-Files" star David - who recently completed a stint in rehab for sex addiction - is said to have decided to end the 11-year marriage after discovering the raunchy messages on Tea's phone.

David Duchovny has checked out of a rehabilitation clinic where he was being treated for sex addiction.

"The X-Files" star is returning to work and will begin shooting new film "The Joneses" - which also stars Demi Moore and Amber Heard - according to his lawyer Stanton "Larry" Stein.