Integrated circuit designs are evaluated at various corners defined by choices of the design and process parameters. Considering the large number of corners and the simulation cost of covering all the corners of a large design, it is desirable to identify a subset of the corners that can potentially expose corner case bugs. In an integrated analog coverage management framework, this choice may be influenced by those corners that take one or more component analog IPs close to their individual specification boundaries. Since the admissible state space of an analog IP is multi-dimensional, the same corner may not reach the extreme behaviors for each attribute of the specification, and one needs to identify a subset that covers the extremality. This paper shows that the underlying problem is NP-hard and presents an automated methodology for selecting the corners. A formal analog coverage specification is leveraged by our algorithm, which uses a Satisfiability Modulo Theory (SMT) solver to identify the appropriate corners from the output of multiple Monte Carlo (MC) simulations. The efficacy of the proposed approach is demonstrated over industrial test cases.