“Let me explain what we mean by compassion. Usually, our concept of compassion or love refers to the feeling of closeness we have with our friends and loved ones. Sometimes compassion also carries a sense of pity. This is wrong–any love or compassion which entails looking down on the other is not genuine compassion. To be genuine, compassion must be based on respect for the other, and on the realization that others have the right to be happy and overcome suffering just as much as you. On this basis, since you can see that others are suffering, you develop a genuine sense of concern for them.
As for the closeness we feel toward our friends, this is usually more like attachment than compassion.
Genuine compassion should be unbiased. If we only feel close to our friends, and not to our enemies, or to the countless people who are unknown to us personally and toward whom we are indifferent, then our compassion is only partial or biased.
Genuine compassion is based on the recognition that others have the right to happiness just like yourself, and therefore even your enemy is a human being with the same wish for happiness as you, and the same right to happiness as you. A sense of concern developed on this basis is what we call compassion; it extends to everyone, irrespective of whether the person’s attitude toward you is hostile or friendly.” -The Dalai Lama