  The six-dimensional exotic Galilean algebra in (2+1) dimensions with two
central charges $m$ and $\theta$, is extended when $m=0$, to a ten-dimensional
Galilean conformal algebra with dilatation, expansion, two acceleration
generators and the central charge $\theta$. A realisation of such a symmetry is
provided by a model with higher derivatives recently discussed in
\cite{peterwojtek}. We consider also a realisation of the Galilean conformal
symmetry for the motion with a Coulomb potential and a magnetic vortex
interaction. Finally, we study the restriction, as well as the modification, of
the Galilean conformal algebra obtained after the introduction of the minimally
coupled constant electric and magnetic fields.
