In a weakly nonlinear model equation for capillary-gravity water waves
on a two-dimensional free surface, we show, numerically,
that there exist localized solitary traveling waves
for a range of parameters spanning from the long wave limit
(with Bond number B>1/3, in the regime of the Kadomtsev-Petviashvilli-I equation)
to the wavepacket limit (B>1/3, in the Davey-Stewartson regime).
In fact, we show that these two regimes are connected
with a single continuous solution branch of
nonlinear localized solitary solutions crossing B=1/3.