  In this paper, limits are set on bileptons masses and couplings in the
context of the the 331 Model, as well as generic, non-331 Models predicting
bileptons. The following measurable processes are studied: $pp \rightarrow
\ell^{+}\ell^{+}\ell^{-}\ell^{-}X$, $pp \rightarrow \ell^{+}\ell^{-} \nu \nu X$
and $pp \rightarrow \ell^{+}\ell^{-} X$. Experimental limits on singly-charged
bileptons masses and couplings within 331 Models are also obtained for the
first time. With the results, an over 20 year-old experimental limit on vector
bileptons is increased by 60\%. The computed limits are now the most stringent
ones for these particles.
