The popular foursome was in Hong Kong for the 2013 Mnet Asian Music Awards (Mama). After a late-night rehearsal, they had a craving for egg tarts.
"We went to five different places before we found one place that still had them. However, they only had one left, so only one of us got to eat it," singer CL tells Young Post.
Dealing with little incidents like this egg custard tart shortage is as bad as it gets for CL, Bom, Dara and Minzy. Since their debut in 2009, they've released two EPs and one studio album. Many of their singles, such as I Don't Care and Can't Nobody, have topped the charts within weeks of their release.
And they have the awards to back up their catalogue of hits, regularly scooping gongs at Mama. In 2010 - their most illustrious year - the band picked up three of the biggest prizes: Artist of the Year, Album of the Year and Best Female Group.
They are the only artist to win this hat trick of grand awards at one Mama ceremony.
The foursome's success is not only confined to South Korea, either. They have released a Japanese album and worked on some English tracks with Will.i.am, of US rap group Black Eyed Peas. The girls were featured on the track Gettin' Dumb on his solo album, #willpower.
CL says there are no immediate plans for an English album, but they are interested in making one.
"Some people don't understand Korean but still enjoy our music. Without the lyrics, they can't completely understand what the songs are about.
"If we put out an English album, then they would be able to fully understand the things we sing about, our experiences and what the songs really stand for."
For now, 2NE1 fans will have to make do with a new Korean album that's due to be released next year.
Three singles have been released so far, with the latest, Missing You, receiving positive reviews.
The emotional ballad is a bit of a departure from the group's usual energetic hip-hop- and reggae-influenced tracks.
Bom says she cried while recording the song.
"It's just too emotional. I'm actually worried that if we perform it on stage, we might get too into it and start crying," she says.
As for those egg tarts, the group will have another opportunity to taste them. They recently announced their second world tour will kick off in March, stopping in Taiwan, Singapore and Hong Kong.
But they aren't giving away any secrets about the shows. They prefer to keep everything close to their hearts and save some surprises.
"It's hard for me to reveal what we're going to do, as we want to keep it mysterious," CL says. "But I can tell you that I am really looking forward to the Hong Kong stop.
"We came here before, and we saw how great and loud the Hong Kong fans were."