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 \(\textrm{L}^2\) -estimates in time to \(\textrm{L}^p\) -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.
