Multilevel enumerate inside tabularly environment generates incorrect numbering

Question

I'm trying to include a enumerate list in an tabularly environment, but the numbering gets wrong when I add more than one level of depth to the list.

\begin{table}[H]
\begin{minipage}{\linewidth}
\setlength{\tymax}{0.8\linewidth}
\centering
\small
\begin{tabulary}{\textwidth}{@{}LL@{}}
Wrong row&
\begin{enumerate}
\item First.
\begin{enumerate}
\item Second
\end{enumerate}
\end{enumerate}\\
\end{tabulary}
\end{minipage}
\end{table}

This code generates the following output for the row:

Wrong row 
           1   1.1 First
                   1.1 Second

If i add another nested level the output gets messy with overlapping numbers.

Outside of any table, enumerate is being working fine thorught all my document.

EDIT:

I have simplified the example to the maximum and I could make it work, think it was the column type, which now is set to P.

\documentclass[11pt]{book}
\begin{document}
\begin{tabular}{|Lp{10cm}|}
    row1&value\\
    row2&
    \begin{enumerate}
        \item First
        \begin{enumerate}
            \item Second
        \end{enumerate}
    \end{enumerate}
\\
\end{tabular}
\end{document}

Which now generates the correct output:

row1     value
row2     1. First
            1.2 Second

Answer 1

I don't think any of the code fragments that you posted compile however the basic issue is that tabulary enables display math but not other display environments in L columns. A small patch fixes this.

\documentclass{article}
\usepackage{tabulary}

\makeatletter
\let\oldTYtab\TY@tab
\def\TY@tab{\expandafter\TY@xtab\oldTYtab}

\def\TY@xtab#1\bgroup{%
#1\bgroup
\let\list\@gobbletwo
\let\trivlist\relax
\let\endtrivlist\relax
\let\item\relax}

\begin{document}


\noindent
\begin{minipage}{\linewidth}
\setlength{\tymax}{0.8\linewidth}
\small
\noindent
\begin{tabulary}{\textwidth}{@{}LL@{}}
Wrong row&
\begin{enumerate}\item First.
\begin{enumerate}\item Second\end{enumerate}
\end{enumerate}
\end{tabulary}
\end{minipage}

\end{document}