  The exceptional Dehn filling conjecture of the second author concerning the
relationship between exceptional slopes $\alpha, \beta$ on the boundary of a
hyperbolic knot manifold $M$ has been verified in all cases other than small
Seifert filling slopes. In this paper we verify it when $\alpha$ is a small
Seifert filling slope and $\beta$ is a toroidal filling slope in the generic
case where $M$ admits no punctured-torus fibre or semi-fibre, and there is no
incompressible torus in $M(\beta)$ which intersects $\partial M$ in one or two
components. Under these hypotheses we show that $\Delta(\alpha, \beta) \leq 5$.
Our proof is based on an analysis of the relationship between the topology of
$M$, the combinatorics of the intersection graph of an immersed disk or torus
in $M(\alpha)$, and the two sequences of characteristic subsurfaces associated
to an essential punctured torus properly embedded in $M$.
