Metta practice makes the heart more sensitive to the joys and sorrows that sentient beings are subject to. This tenderness becomes the avenue for us to discover our deep connection to all of life and end a sense of isolation.
Our lives are the raw material for liberating insight to arise. Even outside of meditation, the three characteristics of conditioned things -- impermanence, unsatisfactoriness and not-self -- are present in all experience. Understanding this directly and continuously, in the context of the Buddha's core teachings, leads to liberation.