Five men in ski masks and police jackets were involved in the robbery about 3 a.m. local time, Reuters reports.
Two men entered her room at No Address Hotel, bound Kardashian's hands and feet with tape then locked her in the bathroom before stealing a jewelry box worth $6.7 million in jewelry and a ring worth $4 million, police sources told La Parisien.
Her purse, two cell phones and 1,000 euros were also taken, police sources tell BFM TV.
Sources tell PEOPLE that Kardashian left her hotel in two vans with a police escort after she gave her statement to investigators.
The convoy blew through red lights in Paris en route to the airport, where a private jet was waiting to take Kardahian back to the U.S.
"She is badly shaken but physically unharmed," her rep tells PEOPLE.
Kardashian has been on a high-profile tour of Paris Fashion Week all week and was joined by husband Kanye West until Wednesday. She was also joined by mom Kris Jenner and sisters Kourtney Kardashian and Kendall Jenner.
Her children, North, 3, and Saint, 9 months, were not involved in the incident Sunday night, PEOPLE has learned.
Kardashian spent Sunday at the Balenciaga show before stepping out with sister Kourtney for a dinner hosted by designer Azzedine Alaïa.
By 8:30 p.m. ET – 2:30 a.m. Paris time – she was back at her hotel room and Facetiming with brother Rob Kardashian and his fiancée Blac Chyna to wish them congratulations at their baby shower, according to her Snapchat.
Kanye West was in the middle of performing "Heartless" at Meadows Music & Arts Festival in Queens, New York on Sunday night when he interrupted the song and abruptly ended his set, telling fans, "I'm sorry, I'm sorry. Family emergency, I have to stop the show."
A festival rep then came on stage about 10 minutes later and said the set was cancelled and that West was no longer on site.
"Due to a family emergency, Kanye West was forced to end his performance towards the end of his set. We appreciate the great show he put on for fans to close out the inaugural Meadows Festival," the festival said in a statement. "Our thoughts are with West and his family."