Love and compassion are often confused these days but they are not the same thing and it is important to distinguish between the two or love will be reduced to compassion and thereby diminished considerably.
Compassion is usually directed towards suffering, seeking to relieve that or, at least, support the one who suffers. This means it is focussed on what a person is experiencing here and now. It responds to what a person is.
Love aims to encourage a person towards realising what he could and should be. It doesn't necessarily support the person as he is now, enabling that person to be happy and not suffer in his current state. It may even see that suffering is what is necessary to move that person on to a better, more evolved place, a place in which he is more what he should be. This implies that we are not all right as we are now. There is something we should be growing towards. Love is directed towards realising that.
There is no love outside of God. He is the source of love and what our love should be principally directed towards. Without him love would not exist. (Nor would anything, of course, but that's a different matter.) If God is love does he not love us? And yet we suffer. How can this be? It is because God loves us that we suffer. I am not saying he causes it but he allows it and he does so in order that we may become more like him. Love wants the good of the beloved. Good is spiritual. There is no good without the spiritual. Therefore love is always pushing for spiritual growth. Compassion would leave a person where he is, only removing the suffering, but love wants to bring a person up to where happiness is exchanged for joy and compassion/empathy for divine love. Compassion would heal the pain of material suffering. Love wants the caterpillar to become a butterfly even if that hurts.
Note: The point here is not that you should have love instead of compassion. You should have both but compassion should be seen in the light of love not in its own light.