1. Not in agreement with or having an understanding of someone or something. It's clear, however, that the political party is out of sympathy with the eccentric senator, as many of his peers have called on him to resign. The vast majority of local people are now out of sympathy with the cause of the protesters, as the demonstration has done nothing but inconvenience them.

2. Because one has a deep understanding of, allegiance to, or sympathetic feelings toward someone or something. She declined to press charges against the man out of sympathy with his family. I don't think they are taking our case out of sympathy with our cause, but rather because they know that they can win.