The pair are both nominated for Best Performance by a Male Actor in a Limited Series.
Emilia Pérez and The Bear lead the film and TV categories at this year's Golden Globe Awards.
Meanwhile Irish actors Colin Farrell and Andrew Scott will go head-to-head for a trophy at the ceremony. The Dubliners have both been nominated for Best Performance by a Male Actor in a Limited Series, they starred in "The Penguin" and "Ripley" respectively.
Saoirse Ronan missed out in the female acting categories for her performances in The Outrun and Blitz - Paul Mescal and Kneecap also got snubbed.
The ceremony will be hosted by American comedian Nikki Glaser, and will take place on January 5th.
