  In this paper we consider the variational setting for SPDE on a Gelfand
triple $(V, H, V^*)$. Under the standard conditions on a linear coercive pair
$(A,B)$, and a symmetry condition on $A$ we manage to extrapolate the classical
$L^2$-estimates in time to $L^p$-estimates for some $p>2$ without any further
conditions on $(A,B)$. As a consequence we obtain several other a priori
regularity results of the paths of the solution.
  Under the assumption that $V$ embeds compactly into $H$, we derive a
universal compactness result quantifying over all $(A,B)$. As an application of
the compactness result we prove global existence of weak solutions to a system
of second order quasi-linear equations.
