Falcone spilled the details on the event during an interview with Digital Spy and Mecklenburgh confessed that it was true.
Watch Lucy and Mario revealing their secrets:
"I was very drunk," said the model and boutique owner.
Meanwhile, Falcone confessed to previously having a crush on Katie Price ("It was back when she was hot and cool.") and recalls a sordid chat-up line that a TOWIE co-star once used in a club.
The Only Way Is Essex returns on Sunday night (September 30) at 10pm on ITV2.
TOWIE series seven cast - Pictures: