Liam Hemsworth is rumored to be dating Eiza Gonzalez, but can Eiza take the spotlight that comes with dating Liam, who is Miley Cyrus' ex boyfriend?

In Mexico City, Eiza Gonzalez was speaking at a press conference promoting the DVD launch of the film "Los Croods" on Thursday.

But reporters soon turned the interview with the rumored new girlfriend of Liam Hemsworth to whether or not she was dating him.

"I have nothing to say about that subject," the 23-year-old replied curtly.

But the media wasn't about to let Eiza off that easily. They started to ask more personal questions about her relationship with Liam Hemsworth, asking her, "Are you in love? What would you say to Miley Cyrus?", according to Us Weekly.

Eiza reportedly couldn't take the questions anymore, and stormed out of the press conference with her managers.

She later posted a photo of herself at the press conference on Twitter.

Eiza may have to get used to the media dogging her on her personal life, if she is going to be connected to Liam.

Eiza became a household name in the U.S. recently when she was spotted with Cyrus' ex fiance, Liam Hemsworth, during a trip to Las Vegas. They were caught kissing passionately a few days later outside her Beverly Hills apartment.

Rumors of the fling came just as Cyrus and Hemsworth broke off their engagement. Miley and Liam had been dating for three years, and became engaged in May of last year.

Hemsworth, 23, jetted off to Atlanta on Wednesday to begin production on "Mockingjay" (the 3rd and 4th parts of "The Hunger Games" films) with Jennifer Lawrence and Josh Hutcherson.

So how is Liam taking his breakup from Miley Cyrus?

His brother, Chris Hemsworth, simply said Liam is doing "good."