This is pretty much duck-typing, but you could use reflection.
When you create the generic class with a reference to the obj, use reflection to try and find a method with the right signature. As long as you store a reference to the method, performance won't be too bad.
class BaseGeneric<T>
{
private T obj;
private MethodInfo mi;
private const string MethodNameOfInterest = "Xyz";
public BaseGeneric(T theObject)
{
this.obj = theObject;
Type t = obj.GetType();
mi = t.GetMethod(MethodNameOfInterest);
}
public void Xyz()
{
mi.Invoke(obj, null);
}
}
Of course, you would need to add a lot more for error checking and such, but that is the gist of what you could do. Also, don't forget to add the System.Reflection namespace to your using clause.