Endowing robots with the ability to respond appropriately to stimuli contributes to the perception of an illusion of “life” in robots, which is determinant for their acceptance as companions. This work aims to study how a series of bio-inspired reactive responses impact on the way in which participants perceive a social robot. In particular, the proposed system endows the robot with the ability to react to stimuli that are not only related to the current task but are also related to other external events. We conducted an experiment where the participants observed a video-recorded interaction with two robots: one was able to respond to both task-related and nontask-related events, while the other was only able to react to task-related events. To evaluate the experiment, we used the RoSAS questionnaire. The results yielded significant differences for two factors, showing that the addition of responses to nontask-related stimuli increased the robot’s warmth and competence.