Sympathy

An emotional response, stemming from the apprehension of another’s emotion state or condition, that is not the same as the other’s state or condition but consists of feelings of sorrow or concern for the other.

Reference:
Eisenberg, N., & Eggum, N. D. (2009). Empathic responding: Sympathy and personal distress. In Decety, J. & Ickes, W. (Eds.). The social neuroscience of empathy. Cambridge: MIT Press, 71-83.