Peer-review process is fraught with issues like bias, inconsistencies, arbitrariness, non-committal weak rejects, etc. However, it is anticipated that the peer reviews provide constructive feedback to the authors against some aspects of the paper such as Motivation/Impact, Soundness/Correctness, Novelty, Substance, etc. A good review is expected to evaluate a paper under the lens of these aspects. An automated system to extract these implicit aspects from the reviews would help determine the quality/goodness of the peer review. In this work, we propose a deep neural architecture to extract the aspects of the paper on which the reviewer commented in their review. Our automatic aspect-extraction model based on BERT and neural attention mechanism achieves superior performance over the standard baselines. We make our codes, analyses and other matrials available at https://github.com/cruxieu17/aspect-extraction-peer-reviews .