The Italian outfit had another disappointing showing at the Tuscan Grand Prix as Charles Leclerc slipped back from running third early on to end up eighth, with Sebastian Vettel down in 10th.
At what was its 1000th grand prix, several of the team's senior management made an appearance – including chairman John Elkann and Camilleri.
And reflecting on what has been a difficult phase to the campaign, with bruising weekends endured in Spa and Monza, Camilleri said he was not hiding from the troubles the team faced.
"Listen, we're in a hole now, and we know we're in a hole," he said. "It's a confluence of factors, but anything I say will come across as excuses. And we're not into excuses.
"So what matters is to focus on the issues we have and to work hard with determination to get back to what we consider to be our rightful place."
Ferrari 1000th GP celebration atmosphere
Ferrari helped celebrated its 1000th with a special event in Florence on Saturday night – and Camilleri still sees a bright future for the outfit.
"Listen, I think Ferrari and Formula 1 are sort of joined at the hip," he said. "How to imagine Formula 1 without Ferrari? Or the other way around?
"We've been there forever and we're the only team… Others come and go. And yeah, history creates pressure too. So we're looking forward to the next thousand."