One of the most prominent characteristics of psychopathy is a reduced processing of emotionally relevant information. However, it is still unclear how attentional mechanisms may modulate this deficit. The current study aimed to examine the impact of attentional focus on emotion processing in relation to the triarchic constructs of boldness, meanness, and disinhibition. Participants performed two tasks in which pleasant, neutral, and unpleasant framed pictures were presented. In the first task, participants were required to indicate the color of the frame (alternative‐focus task), whereas in the second task they were instructed to indicate the emotional category of the image (affect‐focus task). The Late Positive Potential (LPP) was used as an index of sustained engagement of attention to affective material. Confirming a successful task manipulation, we observed reduced LPP amplitudes, particularly for affective relevant material, in the alternative‐focus task compared to the affect‐focus task. Most interestingly, our results evidenced that trait meanness scores were associated with blunted elaborative processing of affective material (both appetitive and aversive) when this information was task‐relevant (affect‐focus task), but not when it was task‐irrelevant (alternative‐focus task). These findings indicate that high mean individuals are characterized by blunted elaborative processing of affective stimuli when their motivational relevance is determined in a top‐down manner (i.e., when it is task‐relevant). Our results highlight the need for further studying of the bottom‐up and top‐down dynamics of emotional attention in psychopathy.