A solution comes from the enumitem package: the first item is introduced through the enumerate* environment (inline enumerate); it is declared to be the first element of a to be continued series — a notion introduced by enumitem in version 3.0. The other items come from an enumerate environment, belonging to the tobecont series, with suitable values of \topsep and \partopsep.
Here is an example, in which I afford the luxury of two inline items first:
\documentclass{article}
\usepackage[utf8]{inputenc}
\usepackage{fourier}
\usepackage[inline, shortlabels]{enumitem}
\begin{document}
\begin{itemize}
\item Blahblah
\item Blahblah
\begin{enumerate*}[series = tobecont, itemjoin = \quad]
\item a \item b
\end{enumerate*}
\begin{enumerate}[resume = tobecont, ,topsep = 0pt, partopsep = 0pt]
\item c
\item d
\end{enumerate}
\item Blahblah
\end{itemize}
\end{document}

articledocument\begin{itemize} \item \begin{enumerate} \item Text \end{enumerate} \end{itemize}produces what you ask. – Andrew Swann May 13 '14 at 09:01