'Mob Wives' -- HUGE FIGHT BREAKS OUT ... at NYC Premiere Party

Here's a shocker ... there was a huge fight at the "Mob Wives" premiere party in NYC last night -- with flying bottles, police and broken bones, TMZ has learned.

Sources involved with the situation tell TMZ ... it all started when the BF of new cast member Natalie Guercio (pictured below) got into a verbal argument with another partygoer ... and things quickly escalated.

We're told more than ten people started fighting in the middle of the venue ... and multiple sources tell us glass bottles were fired across the party.

One source tells us one of the partygoers suffered a broken ankle in the melee ... but we haven't been able to confirm that. We do know one person was transported to a nearby hospital for treatment.

Law enforcement tells us ... someone called police around 10:48 PM ... but by the time cops arrived, the fight was over.