Appraisal theories have described elaborate mechanisms underlying the elicitation of emotion at the psychological-cognitive level, but typically do not integrate neuroscientific concepts and findings. At the same time, theoretical developments in appraisal theory have been pretty much ignored by researchers studying the neuroscience of emotion. We feel that a stronger integration of these two literatures would be highly profitable for both sides. Here we outline a blueprint of the “appraising brain.” To this end, we review neuroimaging research investigating the processing of major appraisal variables, and sketch a neuro-cognitive process model of appraisal with a special emphasis on the chronometry and the recursive aspect of emotional evaluation. We hope that this contribution will stimulate more hypothesis-driven research on the neuroscience of appraisal.