Shia LaBeouf
U.S. actor Shia LaBeouf (R) poses with girlfriend Mia Goth before a gala screening of his film "Fury" in London Oct. 19, 2014. Reuters/Neil Hall

Actor Shia LaBeouf has sparked engagement rumors after his girlfriend Mia Goth was spotted wearing a huge diamond ring, E! News reported Tuesday. The 21-year-old reportedly made attempts to hide the ring when she arrived at the Los Angeles International Airport recently.

The pair reportedly met on the set of the controversial "Nymphomaniac" movies, and have been dating since 2013. LaBeouf and Goth have made several public appearances together but have managed to keep their personal life away from the media. The 28-year-old began his relationship with Goth shortly after ending his two-year relationship with stylist Karolyn Pho.

In an interview with i-D magazine in 2012, Goth, who was not identified as LaBeouf’s girlfriend at the time, spoke about her dream date. "[I want] something very simple," the Canadian model said, at the time. "Maybe just stay in and cook and watch a great movie. I'm obsessed with film."

In October 2014, rumors surfaced about the "Fury" star dating Kate Mara after they were spotted in Disneyland. “They were very close to each other from time to time,” one witness told E! News, at the time. “At one point they were holding hands and they were always looking at one another in the eyes.”