  We study log canonical models of foliated surfaces of general type. In
particular, we show that log canonical models of general type and their minimal
partial du Val resolutions are bounded. Moreover, we show the valuative
criteria of separatedness and properness and a property related to
local-closedness for the moduli functor $\mathcal{S}_P^{sm}$ which parametrizes
the stable smoothable foliated surface pairs. On the way, we also show a result
on the invariance of plurigenera.
