[Tex/LaTex] Subsubsection and enumerate combination

#enumerateitemize

I can't manage to combinate the effects of enumerate and subsubsection in Latex. The output PDF shows a strange error. Here's my code:

\begin{document}
\chapter{Introduzione al Cloud Computing}
ahem
\section{Sicurezza dei sistemi Cloud}
hum
\subsection{Principali vulnerabilità della sicurezza in\\ambiente Cloud}
hey
\begin{enumerate}
    \item \subsubsection{Data Breaches}
    hello
        \begin{itemize}
        \item ciao
        \end{itemize}
    \item \subsubsection{Data Loss}
    hi
    \item \subsubsection{Account or Service Traffic Hijacking}
    bzz
    \item \subsubsection{Insecure Interfaces and APIs}
    what
    \item \subsubsection{Denial of Service}
    ohnoes
\end{enumerate}
\end{document}

and here's the strange result:

Preview

subsubsection numbers 2 and 3 are overlapping. If I cut the first item's "sub-itemize", that is:

\begin{itemize}
\item ciao
\end{itemize}

the problem fades away!
What am I missing?
I am using Texmaker, and the following packages: fancyhdr, indentfirst, graphicx, newlfont, amssymb, amsmath, latexsym, amsthm, xcolor, hyperref, breakurl.
Thanks in advance.

Best Answer

You can number subsections by increasing secnumdepth and use just the subsubsection counter not the full 1.1.1 prefix by redefining \thesubsubsection. section headings should never be used within a list.

enter image description here

\documentclass{report}

\addtocounter{secnumdepth}{1}
\renewcommand\thesubsubsection{\arabic{subsubsection}}
\begin{document}
\chapter{Introduzione al Cloud Computing}
ahem
\section{Sicurezza dei sistemi Cloud}
hum
\subsection{Principali vulnerabilità della sicurezza in\\ambiente Cloud}
hey

\subsubsection{Data Breaches}
    hello
        \begin{itemize}
        \item ciao
        \end{itemize}
\subsubsection{Data Loss}
    hi

\subsubsection{Account or Service Traffic Hijacking}
    bzz
\subsubsection{Insecure Interfaces and APIs}
    what
\subsubsection{Denial of Service}
    ohnoes

\end{document}
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