Series creator Julian Fellowes was seen discussing the show with a number of movie executives after the Golden Globes in Los Angeles, according to The Sun.
"Julian was chatting with various film directors and movie executives about the show and the possibility it would make a fantastic feature film," a source told the paper.
"Reese Witherspoon and Meryl Streep were also seen chatting and congratulating him. He was very much flying the flag for British TV."
However, Fellowes was said to be cautious about the possibility of a Downton Abbey movie in conversation, with the insider adding: "They were all chatting about how much of a success the film version would be.
"Julian was explaining he would have to give the idea a lot of thought and that lots of people have already asked him about film rights."
Downton Abbey won the Golden Globe for 'Best Mini-Series Or Motion Picture Made for Television' at Sunday night's (January 15) ceremony.
The show was recently picked up for a third series by broadcaster ITV, while the second series is currently airing on PBS in the United States.
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