Jose Acosta

So I imported a low poly model and cut off a small portion of it. But when I unwrap it the UV Map is completely different from the original one and when I import the texture it had before it's all messed up because it doesn't fit the new uv map. So is there a way to make changes to a model and still have the original texture wrapped around where it was before? It's really frustrating not being able to keep the models original texture after unwrapping.