We consider the process 00 within the quark model. We find small corrections to the lowest-order result obtained from chiral loops. These corrections are very similar to those found in vector-meson-dominated models, and too small to be tested with the present data. We use this result, together with a simple pole model, to find the amplitude for KL0 and use this to estimate the CP-conserving part of KL0e+e-. For this last process we find a branching ratio 2.3×10-13, significantly smaller than the CP-violating contribution.