Selena Gomez Happy During First Appearance Since Justin Bieber Split

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(PHOTO) Twitter: @selenagomezSelena Gomez has reportedly split up with Justin Bieber for good

Selena Gomez recently made her first public appearance since splitting up with Justin Bieber on New Year's Eve, and the Disney star appeared to be in good spirits.

Gomez, 20, stepped out for the Alberta Ferretti and Vogue Limited Edition Collection 2013 Fashion Show in Los Angeles Thursday wearing a plunging turquoise Alberta Ferretti dress and sparkling heels. The newly single star showed no signs of distress amid reports that she and Bieber, 19, are over for good, according to Us magazine.

"Selena broke up with Justin about a week ago. It's been a really challenging experience over the last year because of their crazy schedules," a source told Us. "Selena definitely had some major trust issues with Justin."

The tumultuous couple, who has dated on-and-off for three years, had reportedly traveled to Mexico together to ring in the new year, but a fight allegedly broke out on Dec. 30, forcing them to go their separate ways, according to The New York Daily News.

"Selena left Mexico that same day and Justin left for L.A. on the 31st. They haven't seen each other since," a source reportedly told

Despite speculation that the couple may reconcile, a source claims that this time it is different. Bieber is said to be hoping to reunite, but Gomez is reportedly done with the relationship for good.

"They had another huge fight, and Selena won't forgive him," a source said. [Bieber's] been really down about the breakup ... Selena is done with him."

It is still unclear what exactly triggered the argument, although the singers have a history of fighting over trust issues. The pair had previously split up in November following speculation that Bieber had been texting other girls.

"The problem in the first place is that Selena was a little bit of a jealous girlfriend and Justin wasn't really taking her feelings into regard," a source close to the stars previously told Radar. "Justin doesn't see texting other girls as cheating, but he's promised Selena he'll stop if she takes him back."

Gomez took to social networking site Twitter just two days after her break-up with Bieber and the Disney star appeared to be optimistic about her future as a newly single lady.

"New beginnings. Fresh start. I love you all," Gomez tweeted Jan. 1.