  We consider the multilinear pseudo-differential operators with symbols in a
generalized $S_{0,0}$-type class and prove the boundedness of the operators
from $(L^2,\ell^{q_1}) \times \dots \times (L^2,\ell^{q_N})$ to
$(L^2,\ell^{r})$, where $(L^2, \ell^{q})$ denotes the $L^2$-based amalgam
space. This extends the previous result by the same authors, which treated the
bilinear pseudo-differential operators and gave the $L^2 \times L^2 $ to $(L^2,
\ell^{1})$ boundedness.

Classical Analysis and ODEs