|Chastain and Hiddleston|
A source told the Daily Mail: “Tom is taken with Jess and it’s serious. Before Christmas she visited Britain to stay with him and meet all of his family for the first time.”
Jessica previously insisted she would never date an actor again after a bad experience.
While she has romanced an actor during her time at The Juilliard School - New York's esteemed performing arts academy – dating an unnamed star more recently left her "freaking out".
She said: "I have a rule. No actors. I have dated an actor before, at Juilliard, but since then, I've only been on a couple of dates with one and I was so freaked out someone was going to take a picture of us, because they were famous."
Meanwhile, Tom used to date actress Susannah Fielding.